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




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.