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Understanding Algebraic 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 the range:

Question 2 2.

Which portion(s) of this piecewise function would include an open endpoint?

f(x) = 2x +3, x>2

f(x) = 3x - 4, x = 2

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

Question 3 3. Find the domain of this function

Question 4 4. What is the first step to finding range?

Question 5 5.

What is the range of the following list?

{6, 0, 8, 2}

Page 2

Question 6 6.

Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

Question 7 7. What is the domain of this function?

Question 8 8. If f(x) represents the left part of the black graph and g(x) represents the right part of the black graph, then what piecewise function represents the red graph?

Question 9 9. What is the domain of this function?

Question 10 10. Which of the following sequences follows this formula?

Page 3

Question 11 11.

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

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

Question 12 12. What translations have been made to g(x)?

Question 13 13.

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 14 14. What is the range of the function {(9,2), (4,-5), (8,8), (1, 15)}?

Question 15 15. What is the domain of this function?

Page 4

Question 16 16. If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).

Question 17 17. Which of the following sequences follows this formula.

Question 18 18. What is the range of the function -x^4 + 4?

Question 19 19.

You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $7.00/hr.

How much money will you make if you work 50 hours in one week?

Question 20 20. Find the domain of this function

Page 5

Question 21 21. When is the domain of a function undefined?

Question 22 22. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

Question 23 23. If f(6) = 5, f(1) = 15, g(8) = 3, and g(1) = 6, evaluate f(g(1)).

Question 24 24. If f(x) = 2x and g(x) = x+1, evaluate f(f(g(1))).

Question 25 25.

At the annual hamster ball race at the local pet store, the judges jotted down the following times. What is the range of finish times for all the hamsters?

Hamster 1: 10 minutes

Hamster 2: 6 minutes

Hamster 3: 15 minutes

Hamster 4: 4 minutes

Hamster 5: 20 minutes

Page 6

Question 26 26. If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).

Question 27 27. In which function has f(x) been shifted up 2 units and 7 units to the right?

Question 28 28. What is the domain of a piecewise function?

Question 29 29. All of the following are piecewise functions, EXCEPT:

Question 30 30.

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

Understanding Algebraic 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!

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