Question

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

Answer 1

The Correct Answer is A.

Explanation:

Answer 2

x f(x)

–3 –12

–1 –4

4 16

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