Chapter 4.4, Problem 20E

To determine

To Depict:The true nature of the function.

Answer to Problem 20E

The function is increasing up to the point $x=4$ and then increasing up to $x=3.8$

And then decreasing and then keeps increasing.

Explanation of Solution

Given:Graph $f(x)=e^x+\ln \left|x-4\right|$ using as many viewing rectangles as you need to depict the nature of the function.

Given: $f(x)=e^x+\ln \left|x-4\right|$

The graph of the function is

  

The function is decreasing the in the interval $x\in (-\infty ,-1.74)$

Concave downward to concave upward is at point $x=-4.21$

The function is increasing up to the point $x=4$ and then increasing up to $x=3.8$

And then decreasing and then keeps increasing.

The asymptote is $x=4$