Algebra A Unit 7 Quiz 23-24 due 10/30
4 of 144 of 14 Items
Question
POSSIBLE POINTS: 11.54
Compare the following functions:
Function A:
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
.
To find the slope/rate of change of a function, we need to calculate the change in y divided by the change in x.
For Function A, we can see from the given table that when x increases by 1, y also increases by 1. So the slope/rate of change of Function A is 1.
For Function B, we can calculate the slope/rate of change between f(0) and f(1) using the given values:
Change in y = 1 - 0 = 1
Change in x = 1 - 0 = 1
The slope/rate of change between f(0) and f(1) for Function B is 1/1 = 1.
Similarly, we can calculate the slope/rate of change between f(1) and f(2) and between f(2) and f(3) as follows:
For f(1) to f(2):
Change in y = 4 - 1 = 3
Change in x = 2 - 1 = 1
The slope/rate of change between f(1) and f(2) for Function B is 3/1 = 3.
For f(2) to f(3):
Change in y = 9 - 4 = 5
Change in x = 3 - 2 = 1
The slope/rate of change between f(2) and f(3) for Function B is 5/1 = 5.
Therefore, the slope of Function A is 1 and the slope of Function B is 1 between f(0) and f(1), 3 between f(1) and f(2), and 5 between f(2) and f(3).