What function is graphed below?

f(x) = log (x − 3)
f(x) = log (x + 3)
f(x) = log x + 3
f(x) = log x − 3

The function that is graphed is:

Step-by-step explanation:

We could clearly observe from the graph that:

when x=1 we have the value of the function as: f(1)=3

This means that from the given options we will check which option satisfies this property.

1)

when x=1 we have:

As we know that the logarithmic function is not defined for the negative value.

Hence, this option is incorrect.

2)

when x=1 we have:

Hence, this option is incorrect.

4)

when x=1 we have:

Hence, this option is incorrect.

3)

When we plot this function we get the same graph as shown.

Also f(1)=3

            Hence, this option is correct.