How do you graph y=lnx-1?

1 Answer
Sep 22, 2016

The graph of y is the standard function lnx shifted one unit down the y-axis. y has a zero at x=e

Explanation:

f(x)=lnx has a vertical asymtote at x=0 and a zero at x=1

In this question y=f(x)-1 which simply shifts ("transforms") f(x) one unit down the y- axis.

To find the zero:

y=lnx-1 =0 -> lnx =1
x=e^1=e

Hence y has a zero at x=e

These features can be seen on the graph of lnx-1 below:

graph{lnx-1 [-4.64, 15.36, -5.65, 4.35]}