Question

nd average rate of change from table
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given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $4 \leq x \leq 7$.
answer attempt 1 out of 2
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Explanation:

Step1: Recall average rate formula

The average rate of change of a function $f(x)$ over $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$.

Step2: Identify values from table

For $a=4$, $f(a)=87$; for $b=7$, $f(b)=84$.

Step3: Substitute into formula

$\frac{84 - 87}{7 - 4} = \frac{-3}{3}$

Step4: Simplify the expression

$\frac{-3}{3} = -1$

Answer:

-1