Exponential Functions Examples

Graph the function y = 2^x + 1.

This will look kinda like the function y = 2^x, but each y-value will be 1 bigger than in that function. Old y is a master of one-upsmanship.

We take the graph of y = 2^x and move it up by one:

Since we've moved the graph up by 1, the asymptote has moved up by 1 as well. It used an asymptote bag to move all its things.

The asymptote is now the line y = 1.

Graph the function y = -2^x + 1.

This will be a bit like the function y = -2^x:

Except we'll move it up by 1:

This graph looks a bit different from the others, but the shape is still the same sort of curve.