Math Problem Statement

Graph this function

Solution

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Math Problem Analysis

Mathematical Concepts

Piecewise Functions
Absolute Value Functions
Linear Functions

Formulas

g(x) = -8|x| for x ≤ -1
g(x) = 9x + 5 for -1 < x < 3
g(x) = -3 for x ≥ 3

Theorems

Piecewise continuity
Properties of linear and absolute value functions

Suitable Grade Level

Grades 10-12