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
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.