Question

Graph the natural logarithm by hand. Find the domain, vertical asymptote and x-intercept.
f(x) = ln x + 3
h(x) = 1/2 ln x

Answer 1

My teacher won't let us use graphing calculators and I don't understand how to graph natural logarithms.

Answer 2

@perl

Answer 3

you can graph natural log if you use two facts
we know that ln(1) = 0, and ln(e) = 1

Answer 4

so (1,0) is on the graph of ln x , and (e,1) is on the graph , e ~ 2.718

Answer 5

and ln(0) = negative infinity

Answer 6

I can figure out the domain and x-intercept, but I don't understand how to find the vertical asymptote.