Compare the following functions:

Function A: y=4x −5
Function B:

x y
0 0
1 1
2 4
3
9



What is the slope/rate of change of Function A?

What is the slope/rate of change of Function B between f(0) and f(1)?

What is the slope/rate of change of Function B between f(1) and f(2)?

What is the slope/rate of change of Function B between f(2) and f(3)?

The slope of Function A is
. The slope of Function B is

1 answer

The slope of Function A is 4.

To find the slope/rate of change of Function B between f(0) and f(1), we need to calculate the change in y divided by the change in x. The change in y is 1 - 0 = 1 and the change in x is 1 - 0 = 1. Therefore, the slope/rate of change between f(0) and f(1) is 1.

To find the slope/rate of change of Function B between f(1) and f(2), we need to calculate the change in y divided by the change in x. The change in y is 4 - 1 = 3 and the change in x is 2 - 1 = 1. Therefore, the slope/rate of change between f(1) and f(2) is 3.

To find the slope/rate of change of Function B between f(2) and f(3), we need to calculate the change in y divided by the change in x. The change in y is 9 - 4 = 5 and the change in x is 3 - 2 = 1. Therefore, the slope/rate of change between f(2) and f(3) is 5.

The slope of Function B is not specified in the given information.