Chapter 4.3, Problem 72E

To determine

To find: The graph of the function and determine the domain, asymptotes and the local maximum and minimum values.

Answer to Problem 72E

The domain of the function is $\left(0,\infty \right)$ , the asymptotes of the graph are absent, similarly the local maximum and the local minimum are absent.

Explanation of Solution

Given:

The given function is $y=x+\ln x$ .

Calculation:

Consider the given function is,

  $y=x+\ln x$

The graph for the above function is shown in Figure 1

Figure 1

From the graph the domain of the function is,

  $d=\left(0,\infty \right)$

From the graph the vertical asymptotes and the horizontal asymptotes are absent.

From the graph the graph it is clear that there are no local maximum and minimum.