Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 460: 102

(a). $(-\infty,0)U(0,\infty)$, (b) see graph. (c) see explanations.

(a). Graph the function $f(x)=log_3|x|$ as shown in the figure. We can find its domain $(-\infty,0)U(0,\infty)$, (b) see graph. (c) The curve seems to be connected at $x=0$, but for $f(x)=log_3|x|$, the function requires $x\ne0$