# Basics of Functions Chapter Exam

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### Page 1

#### Question 1 1. For the linear function h=2t-1, what is h when t=4?

#### Question 2 2. What is the end behavior of the function y = 7^x as x gets very small?

#### Question 3 3. What is the minimum number of points needed to graph a linear function?

#### Question 4 4. The set of all of the x values of a function, is called the _____.

#### Question 5 5. Which of the following is written in function notation?

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#### Question 6 6. Which of the following is NOT a piecewise function?

#### Question 7 7. Which graph below is a function?

#### Question 8 8. What are the asymptotes for this equation?

#### Question 9 9. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

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Question 10
10.
Find the *x*-intercept of this line: *y* = 7*x* + 21

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#### Question 11 11. Write the following as an exponential function:

#### Question 12 12. What is the global minimum for the function y=f(x) below between x=0 and x=2?

#### Question 13 13. In the pictured graph of f(x) = -2x^2 + 4x - 2, for which values of x is the function decreasing?

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Question 14
14.
Find the *y*-intercept of this line: 5*x* - 4*y* = 40

#### Question 15 15. In the pictured graph of f(x) = x^2 + 6x, for which values of x is the function increasing?

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#### Question 16 16. Given the function below, evaluate g(7).

#### Question 17 17. A logarithmic function is the inverse of what type of function?

#### Question 18 18. A colony of bacteria starts with 9 bacteria at noon. If the number of bacteria triples every 20 minutes, how many bacteria will be present at 2:40 pm that afternoon?

#### Question 19 19. What is the value of x at the finite local minimum for the function f(x) = 2x^3 - 3x^2?

#### Question 20 20. Where is the global minimum for the function f(x) = sin((pi)x) below between x=0 and x=2?

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#### Question 21 21. Which of the following is the vertex form of the quadratic function?

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Question 22
22.
Evaluate the following piecewise function for x = 2 and x = -7.

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

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Question 23
23.
Your cell phone plan costs $75/month and gives you unlimited talking time and 500 text messages per month. After 500 text messages, it costs $0.10 per text you send.

If you send 870 texts in January, how much is your total cell phone bill?

#### Question 24 24. Factor the quadratic x^2-4.

#### Question 25 25. How many points do you need in order to write the quadratic function if you don't know the vertex?

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#### Question 26 26. Where is the global maximum for the function f(x) = sin((pi)x) between x=0 and x=2?

#### Question 27 27. In the pictured graph of f(x) = x^2 - 4x, for which values of x is f(x) > 0?

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Question 28
28.
Evaluate the following piecewise function for x = 0 and x = 5.

f(x) = 2x - 3, x < 0

f(x) = x² - 1, x = 0

f(x) = x + 3, x > 0

#### Question 29 29. Which equation matches the following graph?

#### Question 30 30. What is the end behavior of a logarithmic function as x gets very large?

#### Basics of 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!