These tables of values represent continuous functions. in which table do the values represent an exponential function? a. x y 1 3 2 6 3 9 4 12 5 15 b. x y 1 2 2 6 3 18 4 54 5 162 c. x y 1 10 2 22 3 34 4 46 5 58 d. x y 1 7 2 8 3 9 4 10 5 11

Table B represents an exponential function.

Step-by-step explanation:

An exponential function is a function which has common ratio. Using this fact we will evaluate the functions given in the form of a table.

Table A.

f(1) = 3

f(2) = 6

f(3) = 9

Now

Ratios are not equal so it's not an exponential function.

Table B.

f(1) = 2

f(2) = 6

f(3) = 18

Here ratios are same therefore it's an exponential function.

Table C.

f(1) = 10

f(2) = 22

f(3) = 34

Ratios are not equal therefore it's not an exponential function.

Table D.

f(1) = 7

f(2) = 8

f(3) = 9

Ratios are not equal so it's not an exponential function.

Therefore Table B is the correct option.

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