Question

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

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 (1-0)/(1-0) = 1/1 = 1.

The slope/rate of change of Function B between f(1) and f(2) is (4-1)/(2-1) = 3/1 = 3.

The slope/rate of change of Function B between f(2) and f(3) is (9-4)/(3-2) = 5/1 = 5.

The slope of Function A is 4. The slope of Function B is not constant, as it changes between different points in the function.