# Math Help - find a formula

1. ## find a formula

f(x) = {(0,2), (2, 4.5), (3,6.75)}

2. Hello, inna!

There are a brizillion possible formulas . . .

. . $f(x) \;=\;{(0,2),\;(2, 4.5),\;(3,6.75)}$

Since the points are not collinear, the simplest function is a quadratic.

. . Example:. $f(x) \;=\;\tfrac{1}{12}(4x^2 + 7x + 24)$

Here's a cute one: . $f(x) \;=\;2(1.5^n)$