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

1 Answer
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]}