Question

How do you graph `y=3^x`?

Answer 1

To plot the graph of `y=3^x`, there is a need to determine some important (x, y) coordinates and asymptotes.

Explanation:

from the equation `y=3^x`, set `x=0`, then solve for `y` to determine the y-intercept.

`y=3^0=1` so one point on the graph is `(0, 1)`

Set x now to the very large value `+oo`, then solve for y.

`y=3^oo=oo` so conclusive to say that when `x` approaches `oo`
`y` approaches `oo` also

Set x now to the very negative value `-oo`, then solve for `y`.

`y=3^-oo=0`

therefore, at `x=-oo` the value of `y` approaches 0 and `y=0` is an asymptote.

the graph of `y=3^x`
graph{(y-3^x)=0[-10,10,5,5]}
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