Question

What is the average rate of change for the function p(x) = x + 4 between (-2,8)?

a) 12
b) 0.5
c) 8.5
d) 0.833

Answer 1

The average rate of change for the function p(x) = x + 4 between (-2,8) is 1.2.

Step-by-step explanation:

The average rate of change for the function p(x) = x + 4 between (-2,8) can be calculated by finding the difference in the values of the function at the two points and dividing it by the difference in the x-coordinates of the points.

Using the formula for average rate of change: (p(8) - p(-2)) / (8 - (-2))

= ((8 + 4) - (-2 + 4)) / (8 + 2)

= 12 / 10

= 1.2

Therefore, the average rate of change for the function p(x) = x + 4 between (-2,8) is 1.2.