What is the average rate of change if this function interval x = -3 to x = 0

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

3 0

The average rate of change of the function, over the given interval is 2.

This question is incomplete, the complete question is:

What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.

<h3>What is the average rate of change over the interval?</h3>

The average rate of change of f(x) over the interval [a,b] is expressed as;

$\frac{f(b)-f(a)}{b-a}$

Given that;

f(x) = 2x + 10
Interval: [ -3, 0 ], a = -3 and b = 0

We substitute our values into the expression above.

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2$

Therefore, the average rate of change of the function, over the given interval is 2.

Learn more about average rate of change: brainly.com/question/23715190

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