# Properties of Functions Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. For a function g(x), how would the graph of g(x+3) - 2 look compared to g(x)?

#### Question 2 2. Find the domain for the following function

#### Question 3 3. Which of the following describes the 'composite' of two functions?

#### Question 4 4. Which one of these functions has a domain of all real numbers?

####
Question 5
5.
Use the information given below to find h(x) / l(x).
- Use the following information to find h(x) / l(x).

- Use the following information to find h(x) / l(x).

### Page 2

#### Question 6 6. What is the domain of √(x)?

####
Question 7
7.
What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

#### Question 8 8. Find the domain of f(x)/g(x), if:

#### Question 9 9. For f(x) and g(x) below, find f(x) - g(x)

####
Question 10
10.
Find the inverse function of:

y = 1/x

### Page 3

####
Question 11
11.
Find the domain of f(g(x)), if:

f(x) = 1/x

g(x) = 1/(x+4)

####
Question 12
12.
Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

#### Question 13 13. For the graph of the function f(x) shown below, find f(f(0))

####
Question 14
14.
Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

#### Question 15 15. What is the range of the function below?

### Page 4

#### Question 16 16. Find f(-2) for the following function:

#### Question 17 17. Using the graph, find f(f(-2)).

#### Question 18 18. For the following function, find f(f(x)):

#### Question 19 19. Evaluate h(x) = 1, when x=3.

#### Question 20 20. Which of the following makes an equation a relation rather than a function?

### Page 5

#### Question 21 21. What is the range of the function represented by the graph below?

#### Question 22 22. For the following functions f(x) and g(x), find f(g(x))

#### Question 23 23. How do you determine whether a function is an inverse of another function?

#### Question 24 24. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

#### Question 25 25. The function graphed in red below is f(x). Express the function graphed in blue in terms of f(x)

### Page 6

#### Question 26 26. Find the inverse of the following function:

#### Question 27 27. If the graph of f(x) is shown below, which choice represents the graph of f(x+1)+2 ?

#### Question 28 28. Identify the Range for the function shown below

#### Question 29 29. If f(x) = 5-2x and g(x) = -4x+2, find g(f(x)).

#### Question 30 30. Evaluate.

#### Properties of Functions Chapter Exam Instructions

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