# How to sketch the graph for y=10^(x) -1 ?

Jan 20, 2018

See below.

#### Explanation:

Take a look at a sample graph of an exponential function:

graph{e^x [-10, 10, -5, 5]}

This is $y = {e}^{x}$ by the way, and how I typically visualise exponential function graphs.

We'll start with the graph of ${10}^{x}$. The $x$ axis is a horizontal asymptote "at negative infinity" for exponential functions like this. Notice how the graph is different with a greater base. $e$ is about $2.7$, while in our case we have $10$ as base.

graph{10^x [-10, 10, -5, 5]}

To get ${10}^{x} - 1$, you'll have to shift that entire graph downwards $1$ unit:

graph{10^x-1 [-10, 10, -5, 5]}