Question

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

Answer 1

D.

Explanation:

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Answer 2

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),

`f(x) =(1)/(x-3)`

2nd plot represents the straight line (passing through origin and slope 1/5),

`f(x)=(x)/(5)`

3rd plot represents the parabola (vertex at 3, 0),

`f(x)=(1)/(c) (x-3)^(2)` (where c is a constant)

4th plot represents the logarithmic curve,

`f(x)=c\log x` (where c is a constant)

∴ The 4th graph is a graph of a logarithmic function.