Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix C - Functions - Page 435: 18

Answer

Refer to Graph I and by way of Vertical Line Test, it is NOT a function. The domain is $[–4, 4]$. The range is $[–3, 3]$.

Work Step by Step

Refer to Graph I and by way of Vertical Line Test, it is NOT a function because each vertical line drawn will intersect the curve on the graph in more than one point. Because there is a minimum and a maximum value of x of –4 and 4 respectively, the x-values of the points on the curve will include all the real numbers between –4 and 4 inclusive. The domain is $[–4, 4]$. Because there is a minimum and a maximum value of y of –3 and 3 respectively, the y-values of the points on the curve will include all the real numbers between –3 and 3 inclusive. The range is $[–3, 3]$.
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