Given the function f(x)=-x^2-5x+12f(x)=−x 2 −5x+12, determine the average rate of change of the function over the interval -5\le x \le 4−5≤x≤4.

Given:

The function is

To find:

The average rate of change of the function over the interval −5 ≤ x ≤ 4.

Solution:

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

Putting x=-5 in the given function, we get

Putting x=4 in the given function, we get

Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is

Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.

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step-by-step explanation:

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.