Question

Which function is shown in the graph below?

Answer 1

Logarithmic function

Answer 2

Answer:

The given function is $f(x)=\log_{6}x$.

Step-by-step explanation:

From the graph, we see that,

The graph is representing a logarithm function.

Let the function be $f(x)=\log_{p}x$, where p>1, p≠1.

Since, the point (6,1) lie on the graph of the function.

So, the point must satisfy the given function.

That is, $f(6)=1$

i.e. $\log_{p}6=1$

This is only possible if p = 6.

Thus, the given function is $f(x)=\log_{6}x$.