Question

nd average rate of change from table
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question
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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 $5 \leq x \leq 9$.
answer attempt 1 out of 2

Explanation:

Step1: Recall average rate of change 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 the table

For interval $5 \leq x \leq 9$, $a=5$, $f(a)=8$, $b=9$, $f(b)=128$

Step3: Substitute values into formula

$\frac{128 - 8}{9 - 5} = \frac{120}{4}$

Step4: Simplify the fraction

$\frac{120}{4} = 30$

Answer:

30