Math Problem Statement

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1, is less than or equal to, x, is less than or equal to, 1≤x≤3.

Solution

To find the average rate of change of a function over an interval [a,b][a, b], we use the formula:

f(b)f(a)ba\frac{f(b) - f(a)}{b - a}

Since the function is given in a table, we need the values of f(x)f(x) at x=1x = 1 and x=3x = 3.

Could you provide the table with the function values? Once you share the table, I can compute the average rate of change for you.

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Math Problem Analysis

Mathematical Concepts

Average Rate of Change
Functions
Intervals

Formulas

(f(b) - f(a)) / (b - a)

Theorems

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Suitable Grade Level

Grades 7-9