Question

7. Given the graph of y=f(x) below:A. determine the x-values where f(x) is increasing (use intervals)B. determine the x-values where f(x) is decreasing (use intervals)C. determine the coordinates (ordered pairs) of the local minimumsD. determine the coordinates (ordered pairs) of the local maximums

Answer 1

From the graph given

Question A

The x-values where f(x) is increasing =>

$\mleft[-7,-2\mright]and\lbrack0,\infty)$

Question B

The x-values where f(x) is decreasing =>

$(-\infty,-7)\text{ and \lbrack-2,0\rbrack}$

Question C

The coordinates (ordered pairs) of the local minimums=>

$\begin{gathered} (-7,-3)\text{ and (0,-7)} \\ \end{gathered}$

Question D

The coordinates (ordered pairs) of the local maximums=>

$(-2,1)$