Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1 - Page 11: 2

Answer

domain $[0,\infty) $ range $[-\infty, 1)$

Work Step by Step

Domain: All X values have to be positive. Any values for X that are not positive, thus being negative, will result in an imaginary number. Range: Insert the first domain value into the function, in this case, being 0, and get that value. The output will be 1. Any other values as X approaches infinity will be negative. They are negative because they are being subtracted from 1.
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