Which function is shown in the graph below?

Option C.

Step-by-step explanation:

There are three points which are passing through the logarithmic function shown in the graph.

The points are (0.4, -0.6), (1, 0) and (3, 1).

Now we will plug in the values (3, 1) in all the options to get the correct answer.

a).

We can rewrite the equation as  

[If then ]

For (3, 1)

Which is not true so option A is not the answer.

b).

We can rewrite the equation as  

For (3, 1)

1 = 3

Which is not true.

Therefore, Option B is not the answer.

c).

We can rewrite the equation as  

For (3, 1)

3 = 3

Therefore, option C is the answer.

d).

We can rewrite the equation as  

For (3, 1)

Not true. Therefore, option D is not the answer.

step-by-step explanation:

this is not a question