Question

Compare the functions shown below: f(x) x y −3 −27 −2 −8 −1 −1 0 0 1 1 2 8 3 27 4 64 g(x) linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4? f(x), g(x), h(x) g(x), f(x), h(x) h(x), g(x), f(x) g(x), h(x), f(x)

Answer 1

slope of f(x) is 16 slope of g(x) is -1/2 and tho slope of h(x) 12.5

Explanation:

Answer 2

Hey There!!

To get the average rate of change, we simply have to use this formula:

ARC = (y2 -y1) / (x2 - x1)

For the first function:

ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope

m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:

h(0) = 18

h(4) = 66

ARC = (66 - 18) / (4 - 0) = 12 Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:

g(x)

h(x)

f(x)

Hope This Helps!!

By ☆Itsbrazts☆