Answer:
s(x)
Explanation:
s(x) is a linear function, so the average rate of change is its slope.
Its slope is 3.
You are correct.
To find the average rate of change of polynomial function t(x) from -2 to 2, find the values of t(x) at x = -2 and at x = 2.
average rate of change = [t(2) - t(-2)]/[2 - (-2)]
t(x) = 0.1(x^3 - x^2 + 2)
t(-2) = 0.1[(-2)^3 - (-2)^2 + 2)]
t(-2) = 0.1(-8 - 4 + 2)
t(-2) = -1
t(2) = 0.1[(2)^3 - (2)^2 + 2)]
t(2) = 0.1(8 - 4 + 2)
t(2) = 0.6
average rate of change = [t(2) - t(-2)]/[2 - (-2)]
average rate of change = [0.6 - (-1)]/4
average rate of change = 1.6/4
average rate of change = 0.4
average rate of change for s(x) = 3
average rate of change for s(x) = 0.4
Answer: s(x)