Piecewise and Composite 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!

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

Question 2 2. A plumber charges a flat fee of $150 for a service call that lasts 3 hours or less. For a service call that is 4 hours or more, the plumber charges no flat fee but charges $45 per hour. The plumber does not charge partial hours. Which piecewise function represents the plumbers fee schedule if x equals the number of hours?

Question 3 3. Which of the following is NOT a piecewise function?

Question 4 4. Solve the system of equations:

Question 5 5. If g(x) = 2x^2 - 4x + 7 and h(x) = x^2 + 1, evaluate g(h(2)).

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Question 6 6. Which graph illustrates the piecewise function below?

Question 7 7.

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

Question 9 9. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

Question 10 10. Which piecewise function is a continuous function? Informally, a continuous function can be defined as a function that has a graph that is a single curve with no breaks or gaps.

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Question 11 11.

Solve the following equation for c.

2a - 3b + c - 3 = 6a + 4b - 12

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

Question 13 13.

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 14 14. 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 15 15. What is the domain of this function?

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Question 16 16. The area of a triangle can be modeled by the equation A = (1/2)bh where b is the base of the triangle and h is the height of the triangle. Solve this equation for b.

Question 17 17.

Manipulate the following equation to isolate the y variable.

x - 3y = 12

Question 18 18. If f(x) = x^2 + 4 and g(x) = x - 3, evaluate f(g(x)).

Question 19 19. Evaluate function f when x = -2.

Question 20 20. What is the domain of this function?

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Question 21 21. If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).

Question 22 22. What is the domain of this function?

Question 23 23.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 24 24. If f(6) = 5, f(1) = 15, g(8) = 3, and g(1) = 6, evaluate f(g(1)).

Question 25 25. All of the following are piecewise functions, EXCEPT:

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Question 26 26.

Solve for x and y.

x + y = 5

x - y = -1

Question 27 27. What is the domain of the piecewise function?

Question 28 28. What translations have been made to g(x)?

Question 29 29. Which piecewise function is represented by this graph?

Question 30 30.

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?

Piecewise and Composite 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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