Which of the following exponential functions represents the graph below?

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.