Question

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

Answer 1

The difference in consecutive y values is increasing by double each time. 2^1, 2², 2³, 2⁴ etc so the function is exponential

Answer 2

Answer:

The function that is represented by the table of values is:

                  Option: B

              B.  exponential

Step-by-step explanation:

We are given a table of values as follows:

          x          y

           1           2

           2          4

           3           8

           4          16

           5          32

Based on the table of values we see that the relation between the independent variable x and the dependent variable y is given by:

              $y=2^x$

( since, when x=1 we have: $y=2^1=2$

when x=2 we have: $y=2^2=2\times 2=4$

when x=3 we have:   $y=2^3=2\times 2\times 2=8$

and so on)

Hence, the relationship is exponential with base  2 and exponent x.