Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Piecewise Functions
Function Evaluation

Formulas

f(x) = {x^2 + 5 for x ≤ 2, -3x for x > 2}
g(x) = {5x + 7 for x < 0, (x - 1)^2 + 2 for 0 ≤ x < 4, -x for x ≥ 4}

Theorems

Piecewise Function Definition

Suitable Grade Level

Grades 10-12