The graph of a logarithmic function is shown below what is the domain of the function?

The logarithmic function takes all the real values which are greater than the number negative two.Thus the domain of the logarithmic function shown in the graph is,

Thus the option A is the correct option.

Domain of a function is the set of all the possible input values which are valid for that function.

Given information-

The logarithmic function is shown in the given graph.

The logarithmic function starts from near of the -2 x-axis. The graph then moves to the positive x and positive y direction.

Here the logarithmic function takes all the real values which are greater than the number -2.

As the domain of any function is all the allowed values of the function. Thus the domain of the graphed function should be greater than the number negative two.

Thus the domain of the logarithmic function shown in the graph is,

Thus the option A is the correct option.

Learn more about the domain of the function here;

link

1.        

Step by step explanation:    

We are asked to choose the correct option about the given graph of a logarithmic function.

Since we know that domain of a function is set of input values for which our function is defined.

We can see from our graph that for x values greater than -2 our function is defined and gives specific output.

So domain of our given logarithmic function -2 to positive infinity, which we can write as . Therefore, 1st option is the correct choice.