This document provides a 5 question quiz to review functions. Each question is multiple choice and provides the answer and an explanation. It tests understanding of domain and range, the vertical line test, determining if an equation defines a function, evaluating functions, and explaining the vertical line test. Upon completing the quiz, it congratulates the user and directs them to the next lesson on inverse functions.

1. Function Review Take this QUIZ to REVIEW the basics of functions.

2. Question 5 . Explain in your own words what the vertical line test is for functions. Click here to check answer Question 4 . If f(x) = x 2 + 3x + 5, evaluate the following: f(-x). = ? Click here to check answer Question 3 . Determine whether the equation defines y as a function of x. X 2 + y 2 = 4 Click here to check answer Question 2 . Determine whether the relation is a function. {(6,1), (6,2), (8,3), (9,4)} Click here to check answer Question 1 . Find the domain and range of the relation. {(sitting, 80), (walking,325), (aerobics, 505), (tennis, 505), (running, 720), (swimming, 790)} Click here to check answer Write your answers on your paper and then self-check your answers.

3. Check Answer 1 Domain {sitting, walking, aerobics, tennis, running, swimming} Range {80, 325, 505, 720, 790} If you missed this question, please review pages 186 – 187 in the textbook. Click here to return to quiz.

4. Check Answer 2 No, it is not a relation. The x value 6 corresponds to both 1 and 2 which makes this relation NOT a function. If you missed this question, please review pages 188 to 189 in the textbook. Click here to return to quiz.

5. Check Answer 3 x 2 + y 2 = 4 x 2 + y 2 - x 2 = 4 - x 2 y 2 = 4 - x 2 y = +SQRT(4 - x 2 ) or -SQRT(4 - x 2 ) No, it is does not define y as a function of x . If you missed this question, please review pages 190 in the textbook. Click here to return to quiz.

6. Check Answer 4 We find f(-x) by substituting –x for x in the equation. f(-x) = (-x) 2 +3(-x) + 5 = x 2 – 3x +5 If you missed this question, please review pages 191 in the textbook. Click here to return to quiz.

7. Check Answer 5 If any vertical line intersects a graph in more than one point, the graph is not a function because there are two or more “y” values paired with one “x” value. If you missed this question, please review pages 193 in the textbook. Congratulations. You finished the quiz.

8. You are now ready to move on to our lesson on inverse functions! Reference: Blitzer, Robert. (2007). Algebra & Trigonometry. New Jersey: Prentice-Hall Inc.