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Function A is given by the equation y = 4 x − 7. Function B is given by the table shown.

Function B
x y
1 −2
2 3
3 8
4 13
Function A has a than Function B.
A smaller rate of change
B greater rate of change
C smaller y-intercept
D greater y-intercept

Function A has a smaller rate of change than Function B.

If you input the same x values that have been recorded for Function B into Function A than you can compare the rates of change.

4(1) - 7 = -3

4(2) - 7 = 1

4(3) - 7 = 5

4(4) - 7 = 9

The values increase by 4 each time but in Function B they increase by 5. Therefore Function A has a smaller rate of change.

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