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ACT Math - Functions: Help and Review 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. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 2 2.

Find the inverse function of:

y = 1/x

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

Question 4 4. Find the inverse function of f(x) = 1?

Question 5 5. For a function f(x), what is f-1 (3*f(x))?

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Question 6 6. Which one of these functions has a domain of all real numbers?

Question 7 7. Which of the following is the inverse function of f(x) = 2x - 3?

Question 8 8. The collection of all the outputs of a function is known as which one of the following?

Question 9 9.

Find the domain of f(x) + g(x) if

f(x) = 2x and

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

Question 10 10. What is the range of the function: g(x) = |x| + 1

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Question 11 11. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 12 12. Factor x^2+4x-5.

Question 13 13. Which of the following makes an equation a relation rather than a function?

Question 14 14. What is the domain of √(x)?

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

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Question 16 16.

Find the domain of f(f(x)) if

f(x) = (x+1)/x

Question 17 17.

Use f(x) and g(x) to find g(x) - f(x).

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

Question 18 18. Find a * b if a = 2^6 and b = 2^8.

Question 19 19.

Find the domain of the inverse function of:

f(x) = 1/(x-3)

Question 20 20. What does a^b equal if a = 4 and b = 3?

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Question 21 21. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 22 22. 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 23 23. 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 24 24. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 25 25. If f(g(x)) = x^6 and g(x) = x^3, what is f(x)?

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Question 26 26. Using the graph, find f(f(-2)).

Question 27 27. Find the domain of f(x)/g(x), if:

Question 28 28. Which graph below is a function?

Question 29 29. Which of the following statements is true?

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

ACT Math - Functions: Help and Review 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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