Posted by **Rebecca** on Tuesday, June 12, 2012 at 7:57pm.

for the curve y=2(3^x)+1, determine:

the horizontal asymptote

the y-intercept

range

end behaviour

also, how would i sketch this?

- Math -
**Steve**, Wednesday, June 13, 2012 at 10:53am
y=3^x has a horizontal asymptote at y=0

so does y=2(3^x)

so, y=2(3^x)+1 has a h.a. at y=1.

what is y when x=0? y=2*1+1 = 3

range is all reals > 1

all exponentials look basically the same. Just graph y=a^x passes through (0,1) and (a,1)

Stretch it by 2 and shift it up 1.

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