Respuesta :

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.

Answer:

D.

Step-by-step explanation:

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