Mathematics: What is the average rate of change of f over the interval -4 x 5? Give an exact number.

X=3y-62(3y-6) + 5y = 216y - 12 + 5y = 2111y = 33y = 3Therefore x = 3(3) -6x = 3...

What is the average rate of change of f over the

mulan8382

25.01.2022

$\frac{2}{9}$

Step-by-step explanation:

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

So the average rate of change of our function here on the interval [-4,5] is $\frac{f(5)-f(-4)}{5-(-4)}=\frac{f(5)-f(-4)}{9}$ .

We need to figure out both f(5) and f(-4) .

f(5) corresponds to the value in the 2nd column when the first column value is . This number is 4.

f(5)=4 .

f(-4) corresponds to the value in the 2nd column when the first column value is . This number is 2.

Let's go back to computing the average rate of change of on [-4,5] :

$\frac{4-2}{9}=\frac{2}{9}$ .

The answer is $\frac{2}{9}$ .

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