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)=6(2x)

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

f(x)=12x

f left parenthesis x right parenthesis equals 12 superscript x baseline

Answer 1

f(x) = 6(2)^x

Reason: each step multiplies y by 2, so base = 2. At x = 0, y = 6, so the coefficient = 6; hence f(x)=6·2^x.