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14 April, 22:19

Of these three linear functions represented below, what has the greatest rate of change?

-Function 1: y=2x+6

-Function 2: (this is a table)

x|y

-1|3

1|15

2|21

-Function 3: a number y is less than half a number x.

A) Function 3 has greatest rate of change

B) Function 2 has the greatest rate of change

C) Function 1 has the greatest rate of change

D) All three functions have the same rate of change

*would like the steps to solve this also.

+2
Answers (1)
  1. 15 April, 00:40
    0
    Function 1 is 2x+6

    df/dx=2 so the rate of change is 2

    ...

    Function 2

    dy/dx=21-15=6 so the rate of change is 6

    ...

    Function 3

    y
    So Function 2 having a rate of change of 6 has the greatest rate of change.
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