Question

What type of function is represented by the table of values below?

A. quadratic
B. exponential
c. cubic
D. linear​

Answer 1

Exponential

Explanation:

As the x value is increasing by 1, the Y value is multiplying by 3. Since the value is increasing rapidly from 3 to 9 to 27 to 81 to 243, this is an exponential function.

Answer 2

The type of function which is represented by the table of values below is:

B. Exponential

Explanation:

We are given a table of values as:

x y

1 3

2 9

3 27

4 81

5 243

We can model this equation by the formula:

`y=3^x`

Since, when x=1 we have:

`y=3^1\\\\i.e.\\\\y=3`

when x=2 we have:

`y=3^2\\\\i.e.\\\\y=9`

when x=3 we have:

`y=3^3\\\\i.e.\\\\y=27`

and so on.

Hence, the function is exponential.

i.e.
`y=3^x`