Our functions was y=2^x. We made a table of values for when x= -10 all the way to +10. Then we graphed it to see how the numbers related. We found that the y values doubled when x was greater than or equal to 0, since the base was 2. When x<0, the y valued started to halve.
Our graph
The group that we compared our graph to is the graph with function y=2^-x. We found that ours related to their graph because their answer for y would always be the opposite of ours. So when they had y = 1024, we had y = 1/1024.
The graph we compared ours to
This helped me understand integral exponents because it showed an actual visual graph of how the numbers related to each other. By graphing it you could see the pattern between the numbers and how the pattern continues forever.