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What is the relationship between the graphs of #y = 2^x# and #y = 2^-x#?

1 Answer
Feb 8, 2016

Answer:

They are mirror-images of each other, the #y#-axis being the mirror.

Explanation:

Both cross the #y#-axis at #(0,1)# because #2^0=2^-0=1#

#2^x# shows an exponential increase which doubles for every #+1#
#2^-x# shows an exponential decrease which halves for every #+1#

I will show you the graphs below (sorry I can't put them in one graph)
graph{2^x [-16.02, 16, -8.01, 8.01]}
graph{2^-x [-16.02, 16, -8.01, 8.01]}