Trigonometry (10th Edition)

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

Appendix C - Functions - Page 435: 17

Answer

Refer to Graph I and by way of Vertical Line Test, it is NOT a function. The domain is $[3, \infty)$. The range is $(-\infty, \infty)$.

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 x-value of 3, the values of x of the points on the curve will include all the real numbers greater than or equal to 3. The domain is $[3, \infty)$. The values of y of the points on the curve will include all the real numbers between $-\infty$ and $\infty$ as the curve extends rightwards indefinitely up and down from 2. The range is $(-\infty, \infty)$.
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