# Test Prep Plan - Take a practice test

# Operating with Functions Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. A one-to-one function crosses a horizontal line how many times?

#### Question 2 2. While reading your textbook, you find a function that has two inputs that produce the same answer. Based on this information, you know that this function is _____.

#### Question 3 3. How many times do the answers of a one-to-one function repeat?

#### Question 4 4. Which equation is NOT equivalent to 2x + 4y = 6?

####
Question 5
5.
Manipulate the following equation to isolate the y variable.

x - 3y = 12

### Page 2

####
Question 6
6.
Solve for x and y.

x + y = 5

x - y = -1

####
Question 7
7.
What is the domain of *f(x)* = 1 / *x*?

####
Question 8
8.
What is the domain of the function *f(x)* = *x*?

####
Question 9
9.
If *f(x)* = *x* and *g(x)* = 1 / *x*, what is the domain of *f(g(x))*?

####
Question 10
10.
Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

### Page 3

#### Question 11 11. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

####
Question 12
12.
Use f(x) and g(x) to find g(x) - f(x).

Here, f(x) = -x + 5 and g(x) = 3x + 2.

#### Question 13 13. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

#### Question 14 14. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

#### Question 15 15. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

### Page 4

#### Question 16 16. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 17 17. What is the inverse function of f(x) = 3(x - 2)3?

#### Question 18 18. How do you determine whether a function is an inverse of another function?

####
Question 19
19.
For a function f(*x*), what is f - 1 (3 * f(*x*))?

####
Question 20
20.
What is the inverse function of f(*x*) = *x*/8 + *x* + 2?

### Page 5

####
Question 21
21.
Find the inverse function of f(*x*) = 1?

#### Question 22 22. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

####
Question 23
23.
If f(x) = x^2 and g(x) = x + 1, what is f(g(x))?

Hint: For every *x* in f(x) put in g(x)

*x*in f(x) put in g(x)

#### Question 24 24. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

#### Question 25 25. All of the following are one-to-one functions, EXCEPT:

### Page 6

####
Question 26
26.
Solve for x and y.

x - 3y = -1

2x - 2y = 2

####
Question 27
27.
What is the range of the function *f(x)* = *x*^2?

#### Question 28 28. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

####
Question 29
29.
Recalling function notation, we want *x* to be *w*. Therefore, if f(x) = (3x + 5) / 2, find f(w).

#### Question 30 30. Which of the following is the inverse function of f(x) = 3x?

#### Operating with Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!