Math Problem Statement
Consider the graph of
f
′
(
x
)
below. How many total local extrema (maxima or minima) does
f
(
x
)
have?
A curve on a coordinate plane.
A coordinate plane has a horizontal x-axis labeled from negative 3 to 7 in increments of 1 and a vertical y-axis labeled from negative 4 to 4 in increments of 1. A curve starts at the point left-parenthesis negative 1 comma negative 4 right-parenthesis, which is labeled as f prime; rises in quadrant 2 to left-parenthesis negative 0.75 comma 5 right-parenthesis, falls at the origin to a minimum at left-parenthesis 0.5 comma negative 3 right-parenthesis, rises to a maximum at x equal 2 and 3, and then continues to falls in quadrant 4. All coordinates are approximate.
Select the correct answer below:
0
1
2
3
4
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Local Extrema
Formulas
f'(x) = 0 indicates potential local maxima or minima
Theorems
First Derivative Test
Suitable Grade Level
Grades 10-12
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