Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.3 - Exponential Functions - Exercises - Page 310: 18

Answer

$f(-3)=8$

Work Step by Step

The given function is $\Rightarrow f(x)=0.5^x$ Substitute $-3$ for $x$. $\Rightarrow f(-3)=0.5^{-3}$ Evaluate the power. $\Rightarrow f(-3)=\frac{1}{0.5^{3}}$ Simplify. $\Rightarrow f(-3)=\frac{1}{0.125}$ $\Rightarrow f(-3)=8$.
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