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)`