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 3, is less than or equal to, x, is less than or equal to, 63≤x≤6.

Solution

To find the average rate of change of a function over an interval, you can use the formula:

Average Rate of Change=f(b)f(a)ba\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}

where aa and bb are the endpoints of the interval, and f(a)f(a) and f(b)f(b) are the function values at these points.

You provided the interval 3x63 \leq x \leq 6. To proceed with the calculation, I need the values of the function f(x)f(x) at x=3x = 3 and x=6x = 6 from the table you're referring to.

Could you please share the table or the function values at these points so I can calculate the average rate of change?

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Average Rate of Change
Function Evaluation

Formulas

Average Rate of Change = (f(b) - f(a)) / (b - a)

Theorems

-

Suitable Grade Level

Grades 8-10