Q. 24 - Calculus

Question

In Exercises 21–24, sketch the graph of a function f that has the listed characteristics.
$$\begin{gathered} f\text{'}(-2)=2; \\ f\text{'}\left(0\right)=1; \\ f\left(1\right)=-5 \end{gathered}$$

Step-by-Step Solution

Answer

The graph of the function with the given characteristics is:

Step 1. Given Information.

The characteristics of the function: 

$$\begin{gathered} f\text{'}(-2)=2; \\ f\text{'}\left(0\right)=1; \\ f\left(1\right)=-5 \end{gathered}$$

Step 2. Observe from the given information.

From the given information we can conclude that the function has a bend at .

Step 3. Graph the function.

Graph the function.