Q:

Which is the graph of a logarithmic function?A B C or D

Accepted Solution

A:
Answer-The D plot represents the logarithmic function.Solution-1st plot represents the rectangular hyperbola (with vertical asymptote at x=3 and horizontal asymptotes at y=0),[tex]f(x) =\frac{1}{x-3}[/tex]2nd plot represents the straight line (passing through origin and slope 1/5),[tex]f(x)=\frac{x}{5}[/tex]3rd plot represents the parabola (vertex at 3, 0),[tex]f(x)=\frac{1}{c} (x-3)^{2}[/tex]  (where c is a constant)4th plot represents the logarithmic curve,[tex]f(x)=c\log x[/tex]              (where c is a constant)∴ The 4th graph is a graph of a logarithmic function.