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

Option D is the correct answer.

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) =

    For (0,1)

              f(0) =

    For (1,5)

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

b) f(x) =

   For (0,1)

              f(0) =

    For (1,5)

              f(1) =  , given that f(1) = 5, so option B is wrong.

c) f(x) =

   For (0,1)

              f(0) =

    For (1,5)

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

d) f(x) =

   For (0,1)

              f(0) =

    For (1,5)

              f(1) =  

   For (2,25)

               f(2) =  

  For (3,125)

               f(3) =  

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