Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Review - Concept Check - Page 388: 2

Answer

a. domain = $\mathbb{R}=(-\infty, \infty)$ b. range = $(0, \infty)$ c. graphs: (i) blue (ii) red .

Work Step by Step

The exponential function $f$ with base $a$ (where $a>0,\ a\neq 1$) is defined for all real numbers $x$ by $f(x)=a^{x}$ The domain of $f$ is $\mathbb{R}$, and the range of $f$ is $(0, \infty)$ --------------- a. domain = $\mathbb{R}=(-\infty, \infty)$ b. range = $(0, \infty)$ c. For example, let (i) a=2 (blue graph) (ii) a=$\displaystyle \frac{1}{2}$ (red graph)
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