Functions in Precalculus Chapter Exam

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!

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Question 1 1. Expand f(x) = (x+3)^2.

Question 2 2. What is the domain of √(x)?

Question 3 3. Find the inverse function of f(x) = 1?

Question 4 4. Which of the following is the inverse function of f(x) = 2x - 3?

Question 5 5. Factor x^2+4x-5.

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Question 6 6. Find the FALSE statement.

Question 7 7. Which set of ordered pairs is NOT a function?

Question 8 8.

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 9 9. Use factoring to find a solution of the following equation: 2x^2+8x = x^2+2x-8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3-x), then x must be 0 or (3-x) must be 0.)

Question 10 10. What notation do you use to show that you have an inverse function?

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Question 11 11. What is g(f(x)) if f(x) = g-1 (x)?

Question 12 12. How do you determine whether a function is an inverse of another function?

Question 13 13. The plot of x - y = 10 is the same as the plot of:

Question 14 14. Which of the following is the inverse function of f(x) = 3x?

Question 15 15. Which of the following is written in function notation?

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Question 16 16. The amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. What are the independent and dependent variables in this function?

Question 17 17. The graph of y - x + 10 = - (8 + x) is a _____

Question 18 18. Which of the following makes an equation a relation rather than a function?

Question 19 19.

Find the inverse function of:

y = 1/x

Question 20 20. Evaluate h(x) = 5x + 1, when x=3.

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Question 21 21. What is the inverse function of f(x) = 3(x - 2)3?

Question 22 22. For a function f(x), what is f-1 (3*f(x))?

Question 23 23. Evaluate f(x) = √(x), when x = 9.

Question 24 24. What is the inverse function of f(x) = x/8 + x + 2?

Question 25 25. The graph of y = x - 2 will pass through which quadrants?

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Question 26 26. Find f(x) if f-1 (x) = x3 + 2

Question 27 27. Which of the following statements is true?

Question 28 28. Which of the following is a point on the function y = 3x - 2?

Question 29 29. Given the function below, evaluate g(7).

Question 30 30. Which graph below is a function?

Functions in Precalculus 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!

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