Compare the two functions:
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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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.