Question

How can you justify that the function is
exponential?

Answer 1

Since the y axis is increasing at an exponential rate. You can see that it goes from 0.06 to 0.125 to 0.25. If you were to graph that it would be a exponential curve. You can see that it jumps alot.

0.0625 to 0.0625*2 to 0.0625*2*2 to 0.0625*2*2*2