SOLUTION: how do you find the horizontal asymptote of y=4(0.6)^x

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Question 939246: how do you find the horizontal asymptote of y=4(0.6)^x
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
y=4%280.6%29%5Ex

the graph actually has a horizontal asymptote at y+=+0 which is the x-axis
That is, the graph will never cross the x-axis.


+graph%28+600%2C+600%2C+-20%2C+20%2C+-10%2C+10%2C+4%280.6%29%5Ex%2C+0%29+

Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
All functions of the form y = k*ax
have a horizontal asymptote which is the x-axis 
ans which has equation y=0.

That's because when 0.6 is a positive number 
less than 1 and when you raise a positive number 
less than 1 to larger and larger powers, the
result gets smaller and smaller and gets closer
and closer to nothing at all, namely 0. 

graph%28400%2C400%2C-3%2C10%2C-3%2C10%2C4%280.6%29%5Ex%29


Edwin