question\nconsider the graph below. select all of the points at which the function has a local (not…

question\nconsider the graph below. select all of the points at which the function has a local (not absolute) minimum over the interval -1.5,2.5.\nselect all that apply:\n□ x = -1.1\n□ x = 0\n□ x = 1.1\n□ x = 2

question\nconsider the graph below. select all of the points at which the function has a local (not absolute) minimum over the interval -1.5,2.5.\nselect all that apply:\n□ x = -1.1\n□ x = 0\n□ x = 1.1\n□ x = 2

Answer

Explanation:

Step1: Recall local - minimum definition

A local minimum occurs at a point (x = c) if (f(c)) is less than or equal to (f(x)) for all (x) in some open interval containing (c).

Step2: Analyze the graph in the interval ([-1.5,2.5])

Inspect the graph for points where the function changes from decreasing to increasing. In the given interval ([-1.5,2.5]), at (x = 0), the function changes from decreasing to increasing, so it is a local - minimum. Also, at (x = 2), the function changes from decreasing to increasing, so it is a local - minimum.

Answer:

(x = 0) (x = 2)