Question 598007: help me solve f(x)=(1/4)^x Domain/Range/Horiz Asymptote
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! help me solve f(x)=(1/4)^x Domain/Range/Horiz Asymptote
Start with a well-known point on all exponential functions, when x=0, y=1 (0,1)
When x>0, the denominator becomes larger and the fraction, f(x), approaches zero.
So the y-axis becomes a horizontal asymptote.
When x<0 , f(x)=(1/4)^-x=1/(1/4)^x=4^x, so f(x) increases to infinity.
Domain: (-∞,∞)
Range:(0,∞)
Asymptote: x-axis or y=0
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