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College Algebra 12th Edition R David Gustafson Jeff Hughes- Test Bank

College Algebra 12th Edition R David Gustafson Jeff Hughes- Test Bank

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College Algebra 12th Edition R David Gustafson Jeff Hughes- Test Bank

 Sample Questions

Instant Download With Answers

2_1___Functions_and_Function_Notation

 

 

1. Indicate whether the equation determines y to be a function of x.

​

 

​

  a. yes
  b. no

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

2. Let the function  be defined by the equation , where x and  are real numbers. Find the domain and range of the function .

​

  a. ​domain: , range:
  b. ​domain: , range:
  c. domain: , range:
  d. ​domain: , range:
  e. ​domain: , range:

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

3. Let the function  be defined by the equation , where x and  are real numbers. Find the range of the function .

​

  a. ​range:
  b. ​range:
  c. range:
  d. ​range:
  e. ​

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

4. Let the function  be defined by the equation , where x and  are real numbers. Find the domain of the function .

​

  a. domain:
  b. domain:
  c. domain:
  d. domain:
  e. domain:

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

5. Let the function  be defined by , where x and  are real numbers. Find .

​

 

​

  a. ​
  b. ​
  c. ​
  d. ​
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

6. Let the function  be defined by , where x and  are real numbers. Find .

​

 

​

  a.
  b. ​
  c.
  d. ​
  e. ​

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

7. Let the function  be defined by , where x and  are real numbers. Find .

​

 

 

  a. ​
  b. ​
  c. ​
  d. ​
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

8. Let the function  be defined by , where x and  are real numbers. Find .

​

​

​

  a. ​
  b. ​
  c. ​
  d.
  e. ​

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

9. Evaluate the difference quotient for the function.

​

 

​

  a.
  b. ​
  c. 6
  d.
  e. 3

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

10. Evaluate the difference quotient for the function.

​

 

​

  a. 3
  b. 1
  c. 6
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

11. Find the graph of the equation.

​

​

  a. ​ b. ​
  c. ​ d. ​

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

12. Find the graph of the equation.

​

 

​

  a. ​ b. ​
  c. d. ​

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

13. Find the graph of the equation.

​

 

​

  a. ​ b. ​
  c. ​ d.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

14. Find the graph of the equation.

​

 

​

  a. ​ b. ​
  c. ​ d. ​

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

15. Find the domain of the function.

​

​

  a. ​
  b. ​
  c. ​
  d. ​
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

16. Give the range of the function.

​

​

  a.
  b. ​
  c. ​
  d. ​
  e. ​

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

17. Give the domain of the function.

​

​

  a. ​
  b. ​
  c. ​
  d. ​
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

18. The velocity of a falling object is a linear function of the time t it has been falling. If  when  and  when , express v as a function of t.

​

  a. ​
  b. ​
  c. ​
  d.
  e. ​

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

19. The amount A of money on deposit for t years in an account earning simple interest is a linear function of t. Express that function as an equation if  when  and  when .

​

  a.
  b. ​
  c. ​
  d. ​
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

20. If a is a real number, find the domain of the function .

​

  a. ​
  b. ​
  c. ​
  d.
  e. ​

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

21. Select each graph that represents y as a function of x.

​

  a. ​ b.
  c. ​ d. ​
  e. ​    

 

ANSWER:   b, c
POINTS:   1
QUESTION TYPE:   Multiple Response
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

22. Let the function  be defined by , where x and  are real numbers. Find .

​

ANSWER:   2
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

23. Let the function  be defined by , where x and  are real numbers. Find .

​

ANSWER:   9
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

24. Evaluate the difference quotient for the function.

​

ANSWER:   7
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

25. Let the function  be defined by , where x and  are real numbers. Find .

​

ANSWER:   –1,249
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

26. Let the function  be defined by the equation , where x and  are real numbers. Find the domain of the function .

​

Please enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

27. Let the function  be defined by the equation , where x and  are real numbers. Find the range of the function .

​

Please enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

28. Let the function  be defined by the equation , where x and  are real numbers. Find the domain of the function .

​

Please enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

29. Let the function  be defined by , where x and  are real numbers. Find .

​

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

30. Evaluate the difference quotient for the function.

​

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

31. Give the domain of the function.

​

​

Enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

32. Give the range of the function.

​

​

Enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

33. Give the domain of the function.

​

​

​

Enter your answer in interval notation.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

34. The velocity of a falling object is a linear function of the time t it has been falling. If  when  and  when , express v as a function of t.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

35. The amount A of money on deposit for t years in an account earning simple interest is a linear function of t. Express that function as an equation if  when  and  when .

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

Indicate whether the equation determines y to be a function of x. Match each equation with the corresponding answer.

​

Choose the correct letter for each question.

​

a.
b.

 

QUESTION TYPE:   Matching
HAS VARIABLES:   False
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

36. no

ANSWER:   b
POINTS:   1

 

37. yes

ANSWER:   a
POINTS:   1

 

Does the graph represent a function?  Match the graph with the corresponding answer.

​

Choose the correct letter for each question.

 

a. ​ b. ​

 

QUESTION TYPE:   Matching
HAS VARIABLES:   True
DATE CREATED:   12/28/2015 5:00 AM
DATE MODIFIED:   12/28/2015 5:00 AM

 

38. yes

ANSWER:   b
POINTS:   1

 

39. no

ANSWER:   a
POINTS:   1

 

 

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