Compare the two functions:

Question

Function 1:

x 0 1 2 3 4 5
y -1 3 7 11 15 19


Function 2:



(4 points)
Which function has the larger y-intercept?

Which function has a constant rate of change?

Which function has the greater rate of change in the interval [0,2]?

Which function has the greater rate of change in the interval [4,5]?

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Answer 1

Function 1 has a larger y-intercept, as it crosses the y-axis at -1 compared to Function 2 which crosses the y-axis at 1.

Function 2 has a constant rate of change, as the difference between consecutive y-values is always the same (4).

In the interval [0,2], Function 2 has a greater rate of change, as the difference between y-values (2) is larger than Function 1 (4).

In the interval [4,5], both functions have the same rate of change, as the difference between consecutive y-values is still 4.