G(t)=−(t−1)2+5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5 What is the average rate of change of over the interval −4≤t≤5-4\leq t\leq 5−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?

The average rate of change over is 1

Explanation:

Given that the function is

We need to determine the average rate of change over the interval

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

Thus, we have,

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

Thus, the value of G(5) is -11

Average rate of change:

The average rate of change can be determined using the formula,

where and

Substituting the values, we get,

Substituting and , we get,

Thus, the average rate of change over the interval is 1.

a

step-by-step explanation: