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

It seems like the problem got cut off before finishing the condition for g(3)g'(3). Could you clarify the rest of the condition for g(3)g'(3)? That way I can fully help you analyze which graph would match all these conditions.

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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