Question

of the function over the interval $4 \leq x \leq 10$.\
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$x$	$f(x)$	\
---	---	\
1	60	\
4	57	\
7	54	\
10	51	\

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answer attempt 1 out of 2\
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submit answer

Explanation:

Step1: Recall average rate of change formula

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

Step2: Identify values from the table

For interval $4 \leq x \leq 10$, $a=4$, $f(a)=57$, $b=10$, $f(b)=51$.

Step3: Substitute values into formula

$\frac{f(10)-f(4)}{10-4} = \frac{51-57}{10-4}$

Step4: Calculate numerator and denominator

$\frac{-6}{6} = -1$

Answer:

$-1$