Question

Use the graph of f to estimate the local maximum and local minimum.

A quartic graph is shown. The graph intercepts the x axis at approximately -2.8, 0, and 2.8.

A. Local maximum: ∞ local minima: (-2,-4) and (2, -4)
B. Local maximum: (0,0); local minimum: (-2,-4)
C. No local maximum; local minimum: (2,-4)
D. Local maximum: (0,0); local minima: (-2,-4) and (2, -4)

Answer 1

maximum = highest point

minimum = lowest point.

Check the picture below.

Answer 2

local maximum at (0,0) and local minimum at (-2,-4) and (2,4)

Explanation:

Local maximum is a point where the graph reaches the maximum point inside the graph.

Local minimum is a point where the graph reaches minimum point.

The given graph goes down and reaches minimum at (-2,-4) then it goes up and reaches maximum at (0,0). After that it goes down and reaches minimum at (2,-4)

So local maximum at (0,0) and local minimum at (-2,-4) and (2,4)