Math Problem Statement

Which of the below graphs is an example of a function that satisfies the following conditions?

g '(0) = 0, g '(1) = -1, g '(2) = 0, g '(3)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Graph Analysis

Formulas

First derivative formula: f'(x) = lim(h→0) [f(x+h) - f(x)] / h

Theorems

Mean Value Theorem
Critical Points

Suitable Grade Level

Grades 11-12, College-level Calculus

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Graphing a Function Based on Derivative Conditions f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1