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

Average rate of change is 1.

Step-by-step explanation:

The average rate of change of function over the intervals is given by the formula,

.

Rewriting the formula according to given data,

.

Given the interval as . Hence value of a and b is a = -4 and b = 5.

Now calculate and as follows.

Calculation for ,

Replace t as a,

Substituting the value,

Calculation for ,

Substituting the value,

Now substituting the value,

.

Simplifying,

.

.

.

Hence average rate of change of the given function over the given interval is 1.

step-by-step explanation:

the forst and 3rd

step-by-step explanation: