Math Problem Statement

A population is modeled by f(x) = 6 · 3x. Is the average rate of change for f constant or does it vary

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Average Rate of Change
Growth Rates

Formulas

f(x) = 6 · 3^x
Average Rate of Change = (f(b) - f(a)) / (b - a)

Theorems

Properties of Exponential Growth

Suitable Grade Level

Grades 9-12