# Chapter 5 - 5.1 - Exponential Functions and Their Graphs - 5.1 Exercises - Page 368: 16

(b)

#### Work Step by Step

$f(x)=2^{x-2}=2^x.2^{-2}=\frac{1}{4}.2^x$ The exponential term has the form: $a^x$. So, the graph must be increasing. $f(0)=\frac{1}{4}.2^0=\frac{1}{4}.1=\frac{1}{4}$. That is, the point $(0,\frac{1}{4})$ lies on the graph of $f(x)=2^{x-2}$ We conclude that the graph of $f(x)=2^{x-2}$ is (b)

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