# How do you write an exponential function whose graph passes through (0,3) and (1,15)?

Jan 10, 2017

I got $y = 3 {e}^{x \ln \left(5\right)}$

#### Explanation:

I would try to use the coordinates of your points:

Our function maight be:
$y = 3 {e}^{x \ln \left(5\right)}$
Or using $\ln \left(5\right) = 1.61$
$y = 3 {e}^{1.61 x}$

Graphically:
graph{3e^(1.61x) [-9.84, 10.16, -9.32, 0.68]}