Q. 53 - Calculus

Question

For each set of sign charts in Exercises 53–62, sketch a possible graph of $f.$

Step-by-Step Solution

Answer

The graph is

Step 1. Given information.

The given sign chart is

Step 2. Graph of the function.

From the given chart,

$$\begin{gathered} f\text{'}\left(x\right)>0 in (-\infty ,2)\text{ and }(2,\infty ) \\ f\text{'}\text{'}\left(x\right)<0 . \\ Therefore, the graph is concave down. \end{gathered}$$