Trigonometry (10th Edition)

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

Appendix C - Functions - Page 435: 16

Answer

Refer to Graph I and by way of Vertical Line Test, it is a function. The domain is (-5, -2). The range is $(-\infty, 4]$.

Work Step by Step

Refer to Graph I and by way of Vertical Line Test, it is a function because each vertical line drawn will not intersect the curve on the graph in more than one point. The values of x of the points on the curve will include all the real numbers between -5 and -2 exclusive as the curve extends indefinitely left and right, as well as downward. The domain is (-5, -2). Because there is a maximum y-value of 4, the values of y of the points on the curve will include all the real numbers less than or equal to 4. The range is $(-\infty, 4]$.
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