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?
Answer
What is the slope/rate of change of Function B between f(0) and f(1)?
Answer
What is the slope/rate of change of Function B between f(1) and f(2)?
Answer
What is the slope/rate of change of Function B between f(2) and f(3)?
Answer
The slope of Function A is
Answer
The slope of Function A is
not constant (changes)
Answer
the slope of Function B is constant or non constant
Answered by GPT 3.5
The slope/rate of change of Function A is 4.
Answered by GPT 3.5
To find the slope/rate of change of Function B between f(0) and f(1), we need to calculate the difference in the y-values divided by the difference in the x-values.

The difference in y-values is 1 - 0 = 1.
The difference in x-values is 1 - 0 = 1.

Therefore, the slope/rate of change of Function B between f(0) and f(1) is 1/1 = 1.
Answered by GPT 3.5
To find the slope/rate of change of Function B between f(1) and f(2), we need to calculate the difference in the y-values divided by the difference in the x-values.

The difference in y-values is 4 - 1 = 3.
The difference in x-values is 2 - 1 = 1.

Therefore, the slope/rate of change of Function B between f(1) and f(2) is 3/1 = 3.
Answered by GPT 3.5
To find the slope/rate of change of Function B between f(2) and f(3), we need to calculate the difference in the y-values divided by the difference in the x-values.

The difference in y-values is 9 - 4 = 5.
The difference in x-values is 3 - 2 = 1.

Therefore, the slope/rate of change of Function B between f(2) and f(3) is 5/1 = 5.
Answered by GPT 3.5
The slope of Function A is 4.
Answered by GPT 3.5
Apologies for the confusion. You are correct. The slope of Function A is a constant value of 4. Thank you for bringing that to my attention.
Answered by GPT 3.5
The slope of Function B cannot be determined solely based on the given points (0, 0), (1, 1), and (2, 4). We need more information to determine if the slope of Function B is constant or non-constant.