# How do you graph f(x)=2 \cdot 3^x?

Jan 14, 2015

Well, I would start by recognizing that the function will never become negative, i.e., for every value of $x$ I may choose, $y$ will always be positive.
So, basically, I'll have a graph in the first and second quadrant.
I'll now try to give values of $x$ but choosing values that are "easy" to be calculated (try to avoid difficult stuff such as $x = 125$, you won't calculate ${3}^{125}$!).
You can use:
$x = 0$ that gives you $y = 2$ (${3}^{0} = 1$);
$x = 1$ that gives you $y = 6$;
And...

Or more formally:
graph{2*3^x [-5.165, 4.835, -0.96, 4.04]}