Question

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A.) linear
B.) quadratic
C.) square root
D.) exponential

Answer 1

Answer: I believe the answer to that query is D.

Explanation:

Exponential

Answer 2

we know that

The exponential function is of the form

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

where

a is any value greater than
`0`

In General:

It is always greater than
`0`, and never crosses the x-axis

It always intersects the y-axis at
`y=1`

Its Domain is the Real Numbers

Its Range is the Positive Real Numbers

Examples

Let

`a=3`

1) For
`x=2`

`f(2)=3^(2) \\ f(2)=9`

2) For
`x=3`

`f(3)=3^(3) \\ f(3)=27`

3) For
`x=4`

`f(4)=3^(4) \\ f(4)=81`

4) For
`x=5`

`f(5)=3^(5) \\ f(5)=243`

`f(3)/f(2)=(27)/(9) \\ =3`

`f(4)/f(3)=(81)/(27) \\ =3`

`f(5)/f(4)=(243)/(81) \\ =3`

therefore

the answer is the option

D.) exponential