Question

What is the average rate of change of g over the interval (-3 ≤ t ≤ 1 ?

a) Need more information
b) g(-3) - g(1)
c) g(1) - g(-3)/4
d) g(1) + g(-3)/2

Answer 1

The average rate of change of a function can be found by comparing the function values at the endpoints of the given interval and dividing it by the difference in the input values.

Step-by-step explanation:

The average rate of change of a function over an interval is the difference in the function values at the endpoints of the interval divided by the difference in the input values.

In this case, the given interval is (-3 ≤ t ≤ 1).

So the average rate of change of function g can be found by calculating g(1) - g(-3) and dividing it by 4.

Therefore, the correct answer is option c) g(1) - g(-3)/4.