Chapter 4.1, Problem 7QR

To determine

To match : the table with the graph of function $f\left(x\right)$ .

1. 
2. 
3. 
4. 

Answer to Problem 7QR

Correct option (d).

Explanation of Solution

Given information :

  $\begin{array}{ccc}x& & f^{\prime }\left(x\right)\\ a& & \text{does not exist}\\ b& & 0\\ c& & -2\end{array}$

At point $a$ , the value of derivative of the function is does not exist that means the function is not differentiable at this point.

At point $b$ , the value of derivative of the function is zero that means the function has either maxima or minima on this point.

At point $c$ , the value of derivative of the function is negative that means the function move downwards.

Therefore, the best fit graph is (d).

Hence, the correct match of the function and graph is (d).