Question

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

Local maximum: ∞ local minima: (-2,-4) and (2, -4)
Local maximum: (0,0); local minimum: (-2,-4)
No local maximum; local minimum: (2,-4)
Local maximum: (0,0); local minima: (-2,-4) and (2, -4)

Answer 1

Option (4)

Explanation:

From the graph attached,

A, B and C are the points based at the heights and valleys of the given curve.

y-coordinates of these points always decide, whether the point is a local maxima or local minima.

y-coordinate of A → -4

y-coordinate of B → 0

y-coordinate of C → -4

Ends of the curve are moving towards infinity, so the absolute maximum is not defined.

Local minimum → -4

Local maximum → 0

Therefore, point representing local maximum is B(0, 0).

Points representing local minimum are A(-2, -4) and C(2, -4).

Option (4) will be the correct option.