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How do I find the average rate of change of the function from x1 to x2?

The function is f(x)= -2x + 15 and x1= 0, x2= 3

Answer 1

William Abdalla

The average rate of change is #-2#.

Algebra I slope is the average rate of change, so

#m = (f(3)-f(0))/(3-0) = (9-15)/3=-2#.

In this case #f(x)# is linear, so the average rate of change will be equal to the slope of the line on all intervals.

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Answer 2

Cameron Alexander

To find the average rate of change of a function from x1 to x2, you can use the formula:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

Where f(x2) represents the value of the function at x2, and f(x1) represents the value of the function at x1. The denominator (x2 - x1) represents the change in x-values.

By substituting the appropriate values into the formula, you can calculate the average rate of change of the function from x1 to x2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.