Math Problem Statement

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6 ≤ x ≤ -2?

Solution

The image you uploaded asks to find the average rate of change of the function f(x)f(x) over the interval 6x2-6 \leq x \leq -2. To proceed, I need the graph of f(x)f(x) that the question references, but it is not visible in the current upload.

To find the average rate of change of f(x)f(x) over the given interval, we would typically 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 a=6a = -6 and b=2b = -2.

Please ensure that the graph of f(x)f(x) is included, or provide the values of f(6)f(-6) and f(2)f(-2), and I'll help you calculate the average rate of change.

Would you like to upload the graph or share the needed values?

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Math Problem Analysis

Mathematical Concepts

Calculus
Average Rate of Change
Functions

Formulas

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

Theorems

Slope of a Secant Line

Suitable Grade Level

Grades 10-12