ACT Math: Functions 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!

Page 1

Question 1 1. Find a * b if a = 2^6 and b = 2^8.

Question 2 2. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 3 3. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 4 4. What is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

Question 5 5.

Find the inverse function of:

y = 1/x

Page 2

Question 6 6. Using the graph, find f(f(-2)).

Question 7 7.

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

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

Question 8 8. Find x if 4x = 2^4.

Question 9 9. Which one of these functions has a domain of all real numbers?

Question 10 10. Find f(x) if f-1 (x) = x3 + 2

Page 3

Question 11 11. Which of the following equals (x^2)/(x^3*x^n)?

Question 12 12. Factor the quadratic x^2-4.

Question 13 13. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 14 14. What is the inverse function of f(x) = x/8 + x + 2?

Question 15 15. 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?

Page 4

Question 16 16. Find the FALSE statement.

Question 17 17. What notation do you use to show that you have an inverse function?

Question 18 18. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 19 19. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

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: g(x) = |x| + 1

Question 22 22. What is the inverse function of f(x) = 3(x - 2)3?

Question 23 23. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 24 24. If f(g(x)) = x^6 and g(x) = x^3, what is f(x)?

Question 25 25. Factor x^2+4x-5.

Page 6

Question 26 26. Find the domain of f(x)/g(x), if:

Question 27 27.

Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 28 28. How do you determine whether a function is an inverse of another function?

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.

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

f(x) = 2x and

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

ACT Math: 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!

ACT Prep: Practice & Study Guide  /  English Courses
Support