How do you draw a natural log graph correctly?

Answer 1

To visualize the graph of ln(x), think about the properties of inverse functions. ln(x) is the inverse function of e^x.

The graph of f(x) = e^x has a y-intercept at (0, 1), has an asymptote at the x-axis when x<0, and increases exponentially when x>0.

Since the graph of g(x) = ln(x) is the inverse of f(x), the graph of ln(x) is the graph of e^x reflected over the diagonal line y=x.

The domain is {x>0}, and the range is {R}. The graph has a vertical asymptote at x=0 as x-->0+, has an x-intercept at (1, 0), and then increases slowly as x increases.

Hope this helped!