Identify the local maximum and minimum of the graphed function.
-
A)local maximum: (-1, 1)
B)local minimum: (-1, 1)local minimum: (-3, 5)local maximum: (-3, 5)
C)local minimum: (1, -1)
D)local maximum: (1, -1)local maximum: (5, -3)local minimum: (5, -3)

Question

Identify the local maximum and minimum of the graphed function.
-
A)local maximum: (-1, 1) 
B)local minimum: (-1, 1)local minimum: (-3, 5)local maximum: (-3, 5) 
C)local minimum: (1, -1) 
D)local maximum: (1, -1)local maximum: (5, -3)local minimum: (5, -3)

Quizplus · Accepted Answer

The local maximum occurs at point (-3, 5) and the local minimum occurs at point (-1, 1). Option B is the only one that contains both of these points as choices. The graph has two local extrema: a local minimum at (-3,5) and a local maximum at (-1,1), as they are the lowest and highest points in their respective local regions. Option B is the only one that identifies both points correctly. Option D incorrectly identifies (1,-1) as a local maximum, and option C incorrectly identifies (1,-1) as a local minimum. Option A only identifies one of the two local extrema.

Identify the Local Maximum and Minimum of the Graphed Function