Study Island

Copyright © 2015 Edmentum - All rights reserved.

Generation Date: 03/28/2015
Generated By: Dawn Nolan
Title: Third Quarter Review

1. Consider the function f(x) = x3 and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?

https://media.studyisland.com/cgi-bin/mimetex.cgi?g(x)\%20=\%20\frac%7b1%7d%7b5%7df(x)\%20=\%20\frac%7b1%7d%7b5%7dx%5e%7b3%7d

 

Bubble

A.

The graph of g(x) is the graph of f(x) shifted to the left https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b5%7dunits.

 

Bubble

B.

The graph of g(x) is the graph of f(x) compressed vertically by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b5%7d.

 

Bubble

C.

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5.

 

Bubble

D.

The graph of g(x) is the graph of f(x) shifted down https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b5%7dunits.

2.

https://app127.studyisland.com/pics/282346q2.png


Which of the following is equal to g(x)?

Bubble

A.

3(x - 3) + 1

 

Bubble

B.

3(x - 1) + 3

 

Bubble

C.

3(x + 1) - 3

 

Bubble

D.

3(x + 3) - 1

3. Which of the following would be the best method for investigating the favorite music genre of a specific student body?

Bubble

A.

experimental study

 

Bubble

B.

survey

 

Bubble

C.

observational study

 

Bubble

D.

controlled experiment

4. What type of function is graphed below?

https://app127.studyisland.com/pics/graph879653a.png

Bubble

A.

odd function

 

Bubble

B.

not a function

 

Bubble

C.

even function

 

Bubble

D.

neither even nor odd

5. Consider the function f(x) = 7x and the function g(x), which is given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?g(x)%20\%20=%20\%20f\left(2x\right)%20\%20=%20\%207%5e%7b\left(2x\right)%7d


How will the graph of g(x) differ from the graph of f(x)?

Bubble

A.

The graph of g(x) is the graph of f(x) horizontally stretched by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\,%20\frac%7b1%7d%7b2%7d.

 

Bubble

B.

The graph of g(x) is the graph of f(x) horizontally compressed by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\,%20\frac%7b1%7d%7b2%7d.

 

Bubble

C.

The graph of g(x) is the graph of f(x) horizontally compressed by a factor of two.

 

Bubble

D.

The graph of g(x) is the graph of f(x) horizontally stretched by a factor of two.

6.

https://app127.studyisland.com/pics/162525q5.png


The graph given above shows the following function.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\frac%7b3%7d%7b2%7d\sin\left(x\right)


What is the amplitude of the function?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?1

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b2%7d

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b3%7d%7b2%7d

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?3

7. Technology Enhanced Questions are not available in Word format.

8.

https://app127.studyisland.com/pics/133739question8.png


Which of the following equations is represented by the given graph?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,3cos(\frac%7b2%7d%7b3%7dx)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,3sin(\frac%7b3%7d%7b4%7dx)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,3sin(\frac%7b2%7d%7b3%7dx)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,3cos(\frac%7b3%7d%7b4%7dx)

9. Find the corresponding point on the unit circle for the radian measure given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta\%20=\%20\frac%7b2\pi%7d%7b3%7d

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20\frac%7b1%7d%7b2%7d\right)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b1%7d%7b2%7d,\%20\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20-\frac%7b1%7d%7b2%7d\right)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b1%7d%7b2%7d,\%20-\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

10. Determine whether the function below is an even function, an odd function, both, or neither.

https://media.studyisland.com/cgi-bin/mimetex.cgi?f(x)\%20=\%20x%5e%7b6%7d\%20+\%2016x%5e%7b4%7d\%20-\%205x%5e%7b2%7d\%20+\%2058

Bubble

A.

both even and odd

 

Bubble

B.

odd function

 

Bubble

C.

even function

 

Bubble

D.

neither even nor odd

11.

https://app127.studyisland.com/pics/134195q8.png


Which of the following equations matches the function shown above?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%202\sin\left(2x\right)%20\%20+%20\%201

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%203\sin\left(\frac%7b1%7d%7b2%7dx\right)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%202\sin\left(\frac%7b1%7d%7b2%7dx\right)%20\%20+%20\%201

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%203\sin\left(2x\right)

12.

https://app127.studyisland.com/pics/133739question3.png


Which of the following equations is represented by the given graph?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,2cos(\frac%7bx%7d%7b3%7d)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,2sin(\frac%7bx%7d%7b3%7d)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,2sin(3x)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\,=\,2cos(3x)

13. Technology Enhanced Questions are not available in Word format.

14. Technology Enhanced Questions are not available in Word format.

15. Consider the function f(x) = 6x and the function g(x), which is given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?g(x)%20\%20=%20\%20\frac%7b1%7d%7b4%7d%20\%20\cdot%20\%20f(x)%20\%20=%20\%20\frac%7b1%7d%7b4%7d%20\%20\cdot%20\%206%5e%7bx%7d


How will the graph of g(x) differ from the graph of f(x)?

Bubble

A.

The graph of g(x) is the graph of f(x) vertically stretched by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\,%20\frac%7b1%7d%7b4%7d.

 

Bubble

B.

The graph of g(x) is the graph of f(x) vertically stretched by a factor of four.

 

Bubble

C.

The graph of g(x) is the graph of f(x) vertically compressed by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\,%20\frac%7b1%7d%7b4%7d.

 

Bubble

D.

The graph of g(x) is the graph of f(x) vertically compressed by a factor of four.

16. What is the midline of the function shown below?

https://app127.studyisland.com/pics/301267q1.png

 

Bubble

A.

y = 3

 

Bubble

B.

y = -1

 

Bubble

C.

y = 4

 

Bubble

D.

y = 7

17.

https://app127.studyisland.com/pics/134195eq4.png


Which of the following equations matches the function shown above?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202\cos(2x)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202\cos(x)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%20\cos(2x)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202\cos(4x)

18. What type of function is graphed below?

https://app127.studyisland.com/pics/graph879653c.png

Bubble

A.

not a function

 

Bubble

B.

neither even nor odd

 

Bubble

C.

even function

 

Bubble

D.

odd function

19. Which of the following methods involves manipulating the sample population?

Bubble

A.

controlled experiment

 

Bubble

B.

questionnaire study

 

Bubble

C.

experimental study

 

Bubble

D.

survey

20. Every day, Taylor's Diner gives a survey to random customers to see how they enjoyed their dining experience. The customers must complete the survey on-line to receive a coupon for their next visit. The results are based off the total number of surveys that were handed out and the responses that were received.

Which of the following could affect the outcome of their surveys?

Bubble

A.

The results could be flawed due to non-response of the customers.

 

Bubble

B.

The results could be flawed because the sample population was too small.

 

Bubble

C.

The survey is biased because they are only asking customers in their diner.

 

Bubble

D.

The results could be flawed because the sample population was too large.

21. Given the following, use a Pythagorean identity to find tan(https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta) if https://media.studyisland.com/cgi-bin/mimetex.cgi?\thetais in quadrant I.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\sin(\theta)%20\%20=%20\%20\frac%7b11%7d%7b13%7d

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b11\sqrt%7b3%7d%7d%7b12%7d

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b4\sqrt%7b3%7d%7d%7b11%7d

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?-\frac%7b4\sqrt%7b3%7d%7d%7b11%7d

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?-\frac%7b11\sqrt%7b3%7d%7d%7b12%7d

22. Which of the following methods involves separating the sample population into groups?

Bubble

A.

separation study

 

Bubble

B.

controlled experiment

 

Bubble

C.

survey

 

Bubble

D.

experimental study

23. Find the corresponding point on the unit circle for the radian measure given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta\%20=\%20\frac%7b9\pi%7d%7b2%7d

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(-1,\%200)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(1,\%200)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(0,\%20-1)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(0,\%201)

24. Determine whether the function below is an even function, an odd function, both, or neither.

https://media.studyisland.com/cgi-bin/mimetex.cgi?f(x)\%20=\%20\frac%7be%5e%7bx%7d\%20+\%20e%5e%7b-x%7d%7d%7b22x%7d

Bubble

A.

odd function

 

Bubble

B.

neither even nor odd

 

Bubble

C.

both even and odd

 

Bubble

D.

even function

25. Which of the following graphs represents the given equation?

https://media.studyisland.com/cgi-bin/mimetex.cgi?%20y%20=%202%20sin(%20\frac%7b\,2\,%7d%7b3%7d%20x%20)

 

https://app127.studyisland.com/pics/133739q1p4.png
W.

https://app127.studyisland.com/pics/133739q1p1.png
X.

https://app127.studyisland.com/pics/133739q1p2.png
Y.

https://app127.studyisland.com/pics/133739q1p3.png
Z.

 

Bubble

A.

Z

 

Bubble

B.

Y

 

Bubble

C.

W

 

Bubble

D.

X

26. Which of the following methods is used to obtain data by watching subjects of interest without assignment of their behavior?

Bubble

A.

survey

 

Bubble

B.

randomized experiment

 

Bubble

C.

observational study

 

Bubble

D.

experimental study

27.

https://app127.studyisland.com/pics/134195q7.png


Which of the following equations matches the function shown above?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%203\cos\left(x%20\%20-%20\%20\pi\right)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%203\cos\left(x%20\%20+%20\%20\pi\right)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\sin\left(x%20\%20-%20\%20\pi\right)%20\%20+%20\%203

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%203\sin\left(x%20\%20-%20\%20\pi\right)

28.

https://app127.studyisland.com/pics/255736q9.1.png

https://media.studyisland.com/cgi-bin/mimetex.cgi?f(x)%20\%20=%20\%202%5e%7bx%7d

https://app127.studyisland.com/pics/transformationarrow.png

https://app127.studyisland.com/pics/255736q11.2.2.png

https://media.studyisland.com/cgi-bin/mimetex.cgi?g(x)%20\%20=%20\%20?


Which of the following is equal to g(x)?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2%20\%20\cdot%20\%202%5e%7bx%7d

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b2%7d%20\%20\cdot%20\%202%5e%7bx%7d

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2%5e%7b\left(2x\right)%7d

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2%5e%7b\left(\frac%7b1%7d%7b2%7dx\right)%7d

29. Consider the function f(x) = x3 and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?

g(x) = f(4·x) = (4x)3

 

Bubble

A.

The graph of g(x) is the graph of f(x) compressed horizontally by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b4%7d.

 

Bubble

B.

The graph of g(x) is the graph of f(x) shifted up https://media.studyisland.com/cgi-bin/mimetex.cgi?4units.

 

Bubble

C.

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of https://media.studyisland.com/cgi-bin/mimetex.cgi?4.

 

Bubble

D.

The graph of g(x) is the graph of f(x) shifted to the right https://media.studyisland.com/cgi-bin/mimetex.cgi?4units.

30. Find the length of the arc intercepted on the unit circle by the following central angle.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta%20\%20=%20\%20\frac%7b\pi%7d%7b6%7d

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b\pi%7d%7b3%7d

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b7\pi%7d%7b6%7d

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b\pi%7d%7b6%7d

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\pi

31. At the end of school year, a survey is administered to the junior class at Forest High School. The survey asks students to choose the school's teacher of the year.

Which of the following could affect the results of the survey?

Bubble

A.

The question covers a wide range of viewpoints.

 

Bubble

B.

The survey is biased because it is only being taken by the junior class.

 

Bubble

C.

The survey should have been taken at the beginning of the school year instead of at the end of the school year.

 

Bubble

D.

Too many people took the survey.

32. Which of the following would be the best method for investigating the effects of a cold medicine compared to a placebo?

Bubble

A.

survey

 

Bubble

B.

experimental study

 

Bubble

C.

observational study

 

Bubble

D.

randomized experiment

33.

https://app127.studyisland.com/pics/162524q3modify.png


The graph given above shows the following function.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\sin\left(2x\right)


What is the period of the function?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\pi

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2\pi

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?1

34. A survey is given to a group of people who are leaving a baseball game to find out their favorite professional athlete. Which of the following could affect the outcome of the survey?

Bubble

A.

The survey is biased because they did it in person instead of over the phone.

 

Bubble

B.

The survey is biased since they are only asking people leaving a baseball game.

 

Bubble

C.

Not enough people took the survey.

 

Bubble

D.

The survey is only focused on the needed response questions.

35.

https://app127.studyisland.com/pics/134195eq3a.png


Which of the following equations matches the function shown above?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202%20cos(x\%20+\%20\frac%7b\pi%7d%7b2%7d)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202%20cos(x\%20-\%20\frac%7b\pi%7d%7b2%7d)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202%20sin(x\%20+\%20\frac%7b\pi%7d%7b2%7d)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%202%20sin(x\%20-\%20\frac%7b\pi%7d%7b2%7d)

36. At the end of the year, a company administers a survey to employees regarding workplace safety. One of the questions on the survey is shown below.

I work in a safe environment.

  1. Strongly Agree
  2. Slightly Agree
  3. Agree
  4. Slightly Disagree
  5. Strongly Disagree

Which of the following could affect the results of the survey?

Bubble

A.

The survey should have been taken at the beginning of the year instead of at the end of the year.

 

Bubble

B.

The question could be interpreted differently by different employees.

 

Bubble

C.

The question covers a wide range of viewpoints.

 

Bubble

D.

The survey should have been taken throughout the year instead of at the end of the year.

37. Find the corresponding point on the unit circle for the radian measure given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta\%20=\%20\frac%7b7\pi%7d%7b6%7d

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b1%7d%7b2%7d,\%20-\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20-\frac%7b1%7d%7b2%7d\right)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(\frac%7b1%7d%7b2%7d,\%20\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20\frac%7b1%7d%7b2%7d\right)

38. Tom is planting a garden. He plants three identical tomato plants in the same soil. Each plant receives the same amount of sunlight and water. The first tomato plant receives store-bought fertilizer. The second tomato plant receives homemade fertilizer. The third tomato plant does not receive any fertilizer.

Which of the following methods is being used to investigate the effect of different fertilizers on the rate of growth of the tomato plants?

Bubble

A.

observational study

 

Bubble

B.

questionnaire study

 

Bubble

C.

controlled experiment

 

Bubble

D.

survey

39. Which of the following would be the best method for investigating the correlation between wrinkles and exposure to the sun?

Bubble

A.

survey

 

Bubble

B.

controlled experiment

 

Bubble

C.

observational study

 

Bubble

D.

questionnaire study

40.

https://app127.studyisland.com/pics/134195q6.png


Which of the following equations matches the function shown above?

Bubble

A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\cos\left(x%20\%20-%20\%20\frac%7b\pi%7d%7b2%7d\right)

 

Bubble

B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\cos\left(x%20\%20+%20\%20\frac%7b\pi%7d%7b4%7d\right)

 

Bubble

C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\cos\left(x%20\%20-%20\%20\frac%7b\pi%7d%7b4%7d\right)

 

Bubble

D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y%20\%20=%20\%20\cos\left(x%20\%20+%20\%20\frac%7b\pi%7d%7b2%7d\right)

41. Which of the following graphs represents the given equation?

https://media.studyisland.com/cgi-bin/mimetex.cgi?%20y%20=%20\frac%7b\,1\,%7d%7b2%7d%20cos(\frac%7b\,1\,%7d%7b3%7d%20x)

 

https://app127.studyisland.com/pics/133739q5p2.png
W.

https://app127.studyisland.com/pics/133739q5p4.png
X.

https://app127.studyisland.com/pics/133739q5p1.png
Y.

https://app127.studyisland.com/pics/133739q5p3.png
Z.

 

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A.

X

 

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B.

W

 

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C.

Z

 

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D.

Y

42. Find the corresponding point on the unit circle for the radian measure given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta\%20=\%20\pi

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A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(1,\%200)

 

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B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(0,\%20-1)

 

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C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(0,\%201)

 

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D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?(-1,\%200)

43.

https://app127.studyisland.com/pics/255736q9.1.png

https://media.studyisland.com/cgi-bin/mimetex.cgi?f(x)%20\%20=%20\%202%5e%7bx%7d

https://app127.studyisland.com/pics/transformationarrow.png

https://app127.studyisland.com/pics/255736q10.2.1.png

https://media.studyisland.com/cgi-bin/mimetex.cgi?g(x)%20\%20=%20\%20?


Which of the following is equal to g(x)?

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A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?3%20\%20\cdot%20\%202%5e%7bx%7d

 

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B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\frac%7b1%7d%7b3%7d%20\%20\cdot%20\%202%5e%7bx%7d

 

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C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2%5e%7b\left(3x\right)%7d

 

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D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?2%5e%7b\left(\frac%7b1%7d%7b3%7dx\right)%7d

44. Consider the function f(x) = 5x and the function g(x), which is given below.

g(x) = f(x + 1) - 9 = 5(x + 1) - 9


How will the graph of g(x) differ from the graph of f(x)?

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A.

The graph of g(x) is the graph of f(x) shifted left one units and down nine units.

 

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B.

The graph of g(x) is the graph of f(x) shifted left nine units and down one units.

 

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C.

The graph of g(x) is the graph of f(x) shifted right nine units and up one units.

 

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D.

The graph of g(x) is the graph of f(x) shifted right one units and up nine units.

45. Find the corresponding point on the unit circle for the radian measure given below.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\theta\%20=\%20\frac%7b\pi%7d%7b6%7d

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A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20\frac%7b1%7d%7b2%7d\right)

 

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B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(\frac%7b1%7d%7b2%7d,\%20\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

 

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C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(-\frac%7b\sqrt%7b3%7d%7d%7b2%7d,\%20\frac%7b1%7d%7b2%7d\right)

 

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D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?\left(\frac%7b1%7d%7b2%7d,\%20-\frac%7b\sqrt%7b3%7d%7d%7b2%7d\right)

46. Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory, Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe the study above?

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A.

questionnaire study

 

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B.

observational study

 

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C.

survey

 

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D.

experimental study

47.

https://app127.studyisland.com/pics/134195eq2a.png


Which of the following equations matches the function shown above?

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A.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%20\sin\left(x\%20+\%20\frac%7b\pi%7d%7b2%7d\right)

 

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B.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%20\sin(x\%20+\%20\pi)

 

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C.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%20\sin(x\%20-\%20\pi)

 

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D.

https://media.studyisland.com/cgi-bin/mimetex.cgi?y\%20=\%20\sin\left(x\%20-\%20\frac%7b\pi%7d%7b2%7d\right)

48. The census is a type of _________________.

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A.

controlled experiment

 

Bubble

B.

survey

 

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C.

questionnaire study

 

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D.

experimental study

Answers

1. B
2. B
3. B
4. A
5. B
6. C
7. --
8. D
9. B
10. C
11. C
12. C
13. --
14. --
15. C
16. A
17. A
18. C
19. C
20. A
21. A
22. B
23. D
24. A
25. D
26. C
27. D
28. C
29. A
30. C
31. B
32. D
33. A
34. B
35. B
36. B
37. B
38. C
39. C
40. B
41. D
42. D
43. B
44. A
45. A
46. D
47. A
48. B