/sci/ - Science & Math

This is utterly amazing. log vs exp functions. What makes them look so similar? they both grow quickly when x<0 and then slow down asymptotically when x>0. Also notice the symmetry of one vs the other in the 1st vs 3rd quadrant. Why is that? Also what happens at 0,0? Why do they stop growing like crazy and begin to slow down asymptotically? What physical phenomenon is that? Why are they not symmetric relative to 0,0 but do look symmetric to each other's opposite side with respect to the dividing point 0,0?