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

xf(x)

–3–12

–1–4

416

Step-by-step explanation:

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

1.

xf(x)

–3–12  = -3 x 4

–1–4  = -1 x 4

416 = 4 x 4

By observing the data we can see that

f(x) = 4x

2.

xf(x)

–26  = -2 x -3

–13  = -1 x -3

1     –3= 1 x -3

f(x) = -3x

3.

xf(x)

10.25  = 1/4

82  = 8/4

164 = 16/4

f(x)= x/4

4.

xf(x)

–93  = -9/-3

–31  = -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