To determine
To find: Make a rough sketch of the graph of function y=ln(-x).
Answer
see the graph
Explanation
Step 1: To draw the graph of y=ln(-x), we start with the graph of y=lnx. The
graph of y=lnx is (as given in Figure 3)

Step 2: Now we use the transformation g(x)=y(-x) to get the graph of y=ln(-x). We
invert the graph of y=lnx along y-axis to get the graph of y=ln(-x). Thus, the graph of the
function y=ln(-x) is

Final statement: see the graph
To determine
To find: Make a rough sketch of the graph of function y=ln|x|.
Answer
see the graph
Explanation
Step 1- To draw the graph of y=ln|x|, we start with the graph of y=lnx. The
graph of y=lnx is (as given in Figure 3)

Step 2: Now we use the transformation g(x)=y|x| to get the graph of y=ln|x|. We take the
reflection of the graph y=lnx into y-axis and the reflection and original both would give the
graph of y=ln|x|. Therefor the graph of the function y=ln|x| is

Final statement: see the graph