Y=2^x and y=2.5^x (which of these equation represents the faster rate of growth y=.5^x and y=.2^x ( which of these equation represents the faster rate of decay how does the graph you answer these questions?

Graphing questions are more difficult to answer without uploading images.You could use technology (a graphics calculator or graphics packages available on the Internet) to do the graphing for you.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green). 
The graphs show that they all pass through (0,1).  After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x.  Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.

I'm not sure exactly but my best guess would be 1/4