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29 October, 13:50

Which table represents a function with a greater rate of change than y = 3x?

x f (x)

-3 - 12

-1 - 4

4 16

x f (x)

-2 6

-1 3

1 - 3

x f (x)

1 0.25

8 2

16 4

x f (x)

-9 3

-3 1

21 - 7

+3
Answers (2)
  1. 29 October, 13:52
    0
    x f (x)

    -3 - 12

    -1 - 4

    4 16

    Step-by-step explanation:

    Let us find the each function by evaluating them one by one

    1.

    x f (x)

    -3 - 12 = - 3 x 4

    -1 - 4 = - 1 x 4

    4 16 = 4 x 4

    By observing the data we can see that

    f (x) = 4x

    2.

    x f (x)

    -2 6 = - 2 x - 3

    -1 3 = - 1 x - 3

    1 - 3 = 1 x - 3

    f (x) = - 3x

    3.

    x f (x)

    1 0.25 = 1/4

    8 2 = 8/4

    16 4 = 16/4

    f (x) = x/4

    4.

    x f (x)

    -9 3 = - 9/-3

    -3 1 = - 3/-3

    21 - 7 = 21/-3

    f (x) = x/-3

    Hence comparing all the four function with our given function f (x) = 3x, we see that f (x) = 4x has a greater rate of change that f (x) = 3x
  2. 29 October, 14:07
    0
    The Correct Answer is A.
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