Compare the following functions:

Question

Function A: y=4x −5
�
=
4
�

−
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
.

Answer 1

The slope/rate of change of Function A is 4.

The slope/rate of change of Function B between f(0) and f(1) is 1.

The slope/rate of change of Function B between f(1) and f(2) is 3.

The slope/rate of change of Function B between f(2) and f(3) is 5.

The slope of Function A is 4. The slope of Function B is not constant and varies between different intervals.