## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Derivatives

Quadratic Functions

Critical Points

Increasing and Decreasing Intervals

First Derivative Test

### Formulas

f'(x) = derivative of f(x) = -4x + 4

Critical points: Solve f'(x) = 0

First Derivative Test: If f'(x) changes sign from positive to negative, it is a relative maximum; if it changes from negative to positive, it is a relative minimum.

### Theorems

First Derivative Test

### Suitable Grade Level

Grades 11-12 (High School Calculus)

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