increasing and decreasing functions\ndetermine the intervals for which the function is increasing or…

increasing and decreasing functions\ndetermine the intervals for which the function is increasing or decreasing. determine any relative extrema.\nnote: you will need to estimate some answers. give estimates with at least one decimal place.\nincreasing:\ndecreasing:\nlocal max = at x =\nlocal min = at x =\nquestion help: video message instructor\nsubmit question

increasing and decreasing functions\ndetermine the intervals for which the function is increasing or decreasing. determine any relative extrema.\nnote: you will need to estimate some answers. give estimates with at least one decimal place.\nincreasing:\ndecreasing:\nlocal max = at x =\nlocal min = at x =\nquestion help: video message instructor\nsubmit question

Answer

Explanation:

Step1: Identify increasing intervals from the graph

The function rises from left to right before x ≈ -3 and after x ≈ 0.

Step2: Identify decreasing intervals from the graph

The function falls from x ≈ -3 to x ≈ 0.

Step3: Locate local maximum

The peak at x ≈ -3 is a local maximum.

Step4: Locate local minimum

The trough at x ≈ 0 is a local minimum.

Answer:

Increasing: (-∞, -3.0), (0.0, ∞)
Decreasing: (-3.0, 0.0)
Local Max = 4.0 at x = -3.0
Local Min = 0.0 at x = 0.0