Chapter 8.3, Problem 38PPS

To determine

To Graph: The function.

Answer to Problem 38PPS

  

Explanation of Solution

Given: $f(x)={\log }_{\frac{1}{5}}x$

Given: $f(x)={\log }_{\frac{1}{5}}x$

(a) Identify the base

  $b=\frac{1}{5}$

(b) Since $0<\frac{1}{5}<1$ use the points

  $\left(\frac{1}{b},1\right),(1,0),(b,-1)$

(c) Plot the points and sketch the graph

  $\left(\frac{1}{5},1\right),(1,0),(5,-1)$

The graph is shown below