consider the function graphed at right. the function has a select an answer of at x = the function is…

consider the function graphed at right. the function has a select an answer of at x = the function is increasing on the interval(s): the function is decreasing on the interval(s): question help: video message instructor submit question

consider the function graphed at right. the function has a select an answer of at x = the function is increasing on the interval(s): the function is decreasing on the interval(s): question help: video message instructor submit question

Answer

Explanation:

Step1: Identify the maximum point

The highest - point of the graph is at $( - 1,3)$. So the function has a maximum of 3 at $x=-1$.

Step2: Determine increasing intervals

As we move from left to right, the function is rising when $x$ is in the interval $(-5,-1)$.

Step3: Determine decreasing intervals

As we move from left to right, the function is falling when $x$ is in the interval $(-1,3)$.

Answer:

The function has a maximum of 3 at $x = - 1$. The function is increasing on the interval $(-5,-1)$. The function is decreasing on the interval $(-1,3)$.