Chapter 5.1, Problem 7QR

To determine

To find: the graph of the function.

Answer to Problem 7QR

The graph of the function is

  

Explanation of Solution

Given information:

x	$f\text{'}\left(x\right)$
$a$	Does not exist
$b$	$0$
$c$	$-2$

Calculation: from the table it can be observed that the value of $f\text{'}\left(x\right)$ is occur at some point, here $f\text{'}\left(b\right)=0$ , so at the point $x=b$ , there is maximum or minimum value and $f\text{'}\left(c\right)<0$ so at the point $x=c$ the function must be decreasing and at the point $x=a$ , the $f\text{'}\left(x\right)$ does not exist so at the point $x=a$ , the curve of graph has a keen point,

Thus, the graph of function can be obtained as: