Question

(a) from -1 to 1
(b) from 2 to 4
(c) from 3 to 6

part 1 of 3

(a) the average rate of change from -1 to 1 is \frac{f(1) - f(-1)}{2}

Explanation:

State the average rate of change formula

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

Substitute the given interval bounds

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Simplify the denominator

$$ \frac{f(1) - f(-1)}{2} $$

Answer:

(a) The average rate of change from \(-1\) to \(1\) is <blank>\(\frac{f(1)-f(-1)}{2}\)</blank>