Question

Use the table to answer the question.

This table displays the corresponding y-values for a given set of x-values.
x-values y-values
−1
3
0 6
1 12
2 24
3 48
Create an exponential model of the dataset shown in the xy
-chart.

(1 point)
Responses

f(x)=2(6)x

f left parenthesis x right parenthesis equals 2 left parenthesis 6 right parenthesis superscript x baseline

f(x)=6(2)x

f left parenthesis x right parenthesis equals 6 left parenthesis 2 right parenthesis superscript x baseline

f(x)=12x

f left parenthesis x right parenthesis equals 12 superscript x baseline

f(x)=6(2x)

Answer 1

f(x) = 6(2)^x

Reason: y doubles each time x increases by 1 (growth factor 2), and y(0)=6, so the model is 6·2^x (checking: 6·2^{-1}=3).