Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.1 Review of Functions - 1.1 Exercises - Page 10: 20

Answer

Domain: (-$\infty$, $\infty$) Range: (0,1]

Work Step by Step

The domain of this equation is all real numbers, which can be observed from the graph. Written in interval notation, this comes out to be (-$\infty$, $\infty$) The range, on the other hand, is (0,1] because the line never quite reaches 0 on the y-axis, but grows closer and closer to it (hence the parenthesis next to the 0 in interval notation). The line also never exceeds 1. 1 is the graph's maximum value, hence the bracket.
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