Question

Select the function that is best modeled by the following table x-0, 1, 2, 3. f(x)-2, 4, 8, 16?

Answer 1

Select the function that is best modeled by the following table x-0, 1, 2, 3. f(x)-2, 4, 8, 16?

A. f(x)=2*0.5^x

B. f(x)=0.25^x

C. f(x)=2*2^x

D. f(x)=4*0.25^x

The values are (0,2) , (1,4) , (2,8) and (3,16)

The rate of change is $\frac{4}{2} =\frac{2}{1}= 2$

and initial value is at x=0 , which is y=2

So the function is given by

$C. f(x)=2*2^x$