Question

How do you graph `f(x)=2*3^x`?

Answer 1

See below

Explanation:

Let's first notice that the graph of `3^x` will have a `y-` intercept of 1 (anything taken to the power of 0 is 1). Then at `x=1, y=3` - we have an exponential function's graph, so it'll soar off to the right and approach 0 from the right as `x` becomes more and more negative.

graph{3^x}

This is modified by being multiplied by 2 - everything moves up by a power of 2. The `y-` intercept is now at 2, `x=1=>y=6`, etc.

graph{(2)3^x}