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=ln⁡x. The

graph of y=ln⁡x  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=ln⁡x 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=ln⁡x. The

graph of y=ln⁡x  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=ln⁡x 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