Question

Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.

y = In|x|

Answer 1

See explanation below.

Explanation:

For this case we can create a table in order to can make the plot. Is important to remember that the natural log of negative numbers is not defined. And the domanin for this function is
`x \in (0,\infty)`

x y = ln|x|

0.5 ln(0.5)= -0.693

1 ln(1)= 0

1.5 ln(1.5)= 0.405

2 ln(2) =0.693

e=2.7183 ln(e) =1

3 ln(3)= 1.099

3.5 ln(3.5) =1.253

4 ln(4) =1.386

4.5 ln(4.5)=1.504

5 ln(5) =1.609

..... ..........

100 ln(100) =4.605

..... ...........

1000 ln(1000) =6.908

And we see that the function begin to increase. The plot for the function with some points is on the figure attached.