SOLUTION: identify any asymptotes of the graph: f(x) = (3/2)^-x +2

Question 587355: identify any asymptotes of the graph: f(x) = (3/2)^-x +2
Found 2 solutions by lwsshak3, dfrazzetto:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
identify any asymptotes of the graph:
f(x) = (3/2)^-x +2
f(x) =(1/(3/2)^x) +2
By inspection, you can see that when:
x=0, f(x)=1+2=3
x<0, f(x) increases to infinity as x approaches negative infinity
x>0, f(x) approaches 2 as x approaches infinity
so, y=2 is an asymptote
Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website!

Think, as x approaches infinity, take the limit and (3/2)^-x, becomes a smaller and smaller number, the limit is zero
0 + 2 = 2
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