Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 657: 17

See the picture below

In order to graph the function, we have to calculate some points on the curve: If x=0 $\log_{\frac{1}{4}}0$ diverges to $\infty$ If x=1 $f(x)=\log_{\frac{1}{4}}1=0$ If x=2 $f(x)=\log_{\frac{1}{4}}2=-0.5$ If x=4 $f(x)=\log_{\frac{1}{4}}4=-1$ If x=16 $f(x)=\log_{\frac{1}{4}}16=-2$ By connecting these points, we can plot the curve.