Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 307: 95


(a) $60$, $(-6,60)$. (b) $-4$, $(-4,12)$.

Work Step by Step

(a) Given $H(x)=(\frac{1}{2})^x-4$, we have $H(-6)=(\frac{1}{2})^{-6}-4=60$ which gives point $(-6,60)$. (b) $12=(\frac{1}{2})^x-4$, thus $x=-4$ which gives point $(-4,12)$ on the graph.
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