Q. 22 - Calculus

Question

In Exercises 21–24, sketch the graph of a function f that has the listed characteristics. 

$$\begin{gathered} f\text{'}(-3)=0; \\ f\text{'}(-1)=0; \\ f\text{'}\left(2\right)=0 \end{gathered}$$

Step-by-Step Solution

Answer

The graph of the function with the given characteristics is:

Step 1. Given Information.

The characteristics of the function:

$$\begin{gathered} f\text{'}(-3)=0; \\ f\text{'}(-1)=0; \\ f\text{'}\left(2\right)=0 \end{gathered}$$

Step 2. Observe from the given information.

From the given information we can conclude that the function has a bend at $x=-3, x=-1, x=2$ since $f\text{'}(-3)=0; f\text{'}(-1)=0; f\text{'}\left(2\right)=0$

Step 3. Graph the function.

Graph the function.