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

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

Answer

Explanation:

Step1: Identify extrema

By observing the graph, the function has a minimum. The lowest - point of the graph occurs at the y - value of approximately - 4 and x - value of 3.

Step2: Determine increasing intervals

The function is increasing when the graph goes up as we move from left to right. From the graph, it is increasing on the interval $(3,\infty)$.

Step3: Determine decreasing intervals

The function is decreasing when the graph goes down as we move from left to right. From the graph, it is decreasing on the interval $(-\infty,3)$.

Answer:

The function has a minimum of - 4 at $x = 3$. The function is increasing on the interval $(3,\infty)$. The function is decreasing on the interval $(-\infty,3)$.