Q. 26 - Calculus

Question

In Exercises 21–28, graphs of $f,f^{\text{'}},\text{ or }{f}^{\text{'}\text{'}}$are given. Whichever is shown, sketch graphs of the remaining two functions. Label the locations of any roots, extrema, and inflection points on each graph. 

Step-by-Step Solution

Answer

The graph of $f is,$

The graph of $f\text{'}\text{'} is,$

Step 1. Given information.

The given graph is,

Step 2. Graph of f .

According to the given graph,

$$\begin{gathered} f<0, in the interval (-\infty ,1) \\ f>0, in the interval (1,\infty ) \end{gathered}$$

Step 3. Graph of f ' ' .

The graph of $f\text{'}\text{'}$ will be ,