To determine the rate of change of a function, we need to find the slope of the line that passes through any two points on the function. Let's take the first two points of the table and find the slope:
Slope = (change in y) / (change in x) = (2 - 0) / (0 - (-1)) = 2/1 = 2
Now, let's take the second two points of the table and find the slope:
Slope = (change in y) / (change in x) = (3 - 2) / (1 - 0) = 1/1 = 1
Therefore, we can see that the rate of change of the function between (-1, 0) and (0, 2) is greater than the rate of change of the function between (0, 2) and (1, 3).
Determine which function has the greater rate of change in problems 1-3.
(1 point)
X y
-1. 0
0. 2
1. 3
1 answer