Q.28 - Calculus

Question

In Exercises 21–28, graphs of $f,f\text{'} or f\text{'}\text{'}$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 $f\text{'} is,$

The graph of $f is,$

Step 1. Given Information.

The given graph is , 

Step 2. Graph of f ' .

Now, the graph of $f\text{'} is decrea\sin g on (-\infty ,2)\text{ and decreasing on }(2,\infty ).$

Therefore, the graph will be,

Step 3. Graph of f .

The graph of $f$ will be$\text{ concave down with an inflection point on }x=0\text{. }$