Question

compare the following functions:
function A: y=4x-5

function B: x
0,1,2,3,
y
0,1,4,9

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 slop/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 variable and depends on the interval being considered.

Answer 2

is the slope of function a constant or not constant?

and is the slope of function b constant or not constant?

Answer 3

The slope of function A is constant at 4. The slope of function B is not constant and changes depending on the interval being considered.