Question

Which of the following exponential functions goes through the points (1, 6) and (2, 12)?

Answer 1

Ok, an exponential function is generally written as: \(\large\color{black}{ \displaystyle y=a(b)^x }\)

You have two (x,y) coordinates given, and them you shall use to solve for a and b.

Answer 2

With these two points, you will set the following system of eqations up to solve for a and b.

\(\large\color{black}{ \displaystyle 6=a(b)^1 }\)
\(\large\color{black}{ \displaystyle 12=a(b)^2 }\)

Answer 3

Is this making some sense?