Question

The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function? f(x) = 2x f(x) = 3x f(x) = 4x f(x) = 5x

Answer 1

Option D is the correct answer.

Step-by-step explanation:

The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.

We need to find f(x)

Checking each options.

a) f(x) =
`2^x`

For (0,1)

f(0) =
`2^0=1`

For (1,5)

f(1) =
`2^1=2`, given that f(1) = 5, so option A is wrong.

b) f(x) =
`3^x`

For (0,1)

f(0) =
`3^0=1`

For (1,5)

f(1) =
`2^1=3`, given that f(1) = 5, so option B is wrong.

c) f(x) =
`4^x`

For (0,1)

f(0) =
`4^0=1`

For (1,5)

f(1) =
`4^1=4`, given that f(1) = 5, so option C is wrong.

d) f(x) =
`5^x`

For (0,1)

f(0) =
`5^0=1`

For (1,5)

f(1) =
`5^1=5`

For (2,25)

f(2) =
`5^2=25`

For (3,125)

f(3) =
`5^3=125`

So all values are satisfied Option D is the correct answer.