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 open interval(s): the function is decreasing on the open interval(s): question help: message instructor

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

Answer

Explanation:

Step1: Identify extrema

The function has a local minimum at the lowest - point of the graph. From the graph, the local minimum value is approximately - 4 and it occurs at (x = 2).

Step2: Determine increasing intervals

A function is increasing when the graph goes up as we move from left to right. The function is increasing on the intervals ((-\infty,0)) and ((2,\infty)).

Step3: Determine decreasing intervals

A function is decreasing when the graph goes down as we move from left to right. The function is decreasing on the interval ((0,2)).

Answer:

The function has a local minimum of - 4 at (x = 2). The function is increasing on the open intervals ((-\infty,0)\cup(2,\infty)). The function is decreasing on the open interval ((0,2)).