Question

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

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

Answer 1

Answer:

Exponential

Step-by-step 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

Answer:

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

                               B. Exponential

Step-by-step 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.  $y=3^x$