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Jet001 [13]
4 years ago
9

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

Mathematics
1 answer:
Ksju [112]4 years ago
3 0

Answer:

\frac{2}{9}

Step-by-step explanation:

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

So the average rate of change of our function f 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 5. This number is 4.

f(5)=4.

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

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

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

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

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