question 10 of 13, step 1 of 2 6/15 correct step 1 of 2: use the graph to determine the locations and type…

question 10 of 13, step 1 of 2 6/15 correct step 1 of 2: use the graph to determine the locations and type of the local extrema. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

question 10 of 13, step 1 of 2 6/15 correct step 1 of 2: use the graph to determine the locations and type of the local extrema. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

Answer

Explanation:

Step1: Identify local extrema concept

Local extrema are points where function changes from increasing to decreasing (local max) or vice - versa (local min).

Step2: Analyze the graph

Looking at the graph, we see a parabola opening upwards. The lowest point of the parabola is the local minimum. The x - coordinate of the local minimum can be estimated from the graph. It appears to be around $x=- 5$. The y - coordinate of the local minimum is around $y = - 7$. Since the parabola opens upwards, there is no local maximum.

Answer:

Local minimum at $(-5,-7)$, Local maximum: DNE