Logarithm functions are the inverses of exponential function.In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.
Given-
The function given in the question is,
[tex]f(x)=log_3x[/tex]
What is logarithm function?
Logarithm functions are the inverses of exponential function.
To plot the graph of the given function we have to find the asymptotes;
vertical asymptote [tex]x=0[/tex]
Find the points at [tex]x=1[/tex]
[tex]f(0)=log_3(0)[/tex]
[tex]f(0)=0[/tex]
Find the points at [tex]x=3[/tex]
[tex]f(3)=log_3(3)[/tex]
[tex]f(0)=1[/tex]
Find the points at [tex]x=9[/tex]
[tex]f(9)=log_3(9)[/tex]
[tex]f(9)=2[/tex]
Hence, the points for the given function are (1,0) (3,1) and (9,2).
In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.
Learn more about the Logarithm functions, here;
https://brainly.com/question/13473114
