Question

Graph the following function, state the domain, range, and asymptote.
y=4^(x-1)

Answer 1

were you able to get anywhere?

Answer 2

yeah i got the graph, hah thats about it

Answer 3

I believe there are no asymptotes because there is no Vertical one because theres no denominator to set equal to zero and I just don't see a spot for a horizontal one either... But hey, I could be wrong.

Answer 4

alright, thanks! and do you know the domain or range

Answer 5

I trust @jim_thompson5910 judgement more than mine on this one.. Been awhile since I have done one of these :P Can't find these notes either, otherwise I would further assist.

Answer 6

ha alright

Answer 7

there are no vertical asymptotes because the domain is the set of all real numbers

Answer 8

but there is a horizontal asymptote

Answer 9

as x gets really really large in the negative direction, 4^(x-4) will get very very small (practically 0)

so the horizontal asymptote is y = 0

Answer 10

the horizontal asymptote will help you find the range

Answer 11

^ I was told just to say there are none if it is 0 :P

Answer 12

y = 0 is something though

Answer 13

if there were no asymptotes at all, then it would easily cross over y = 0 at some point and 4^(x-1) would become negative somewhere

but 4^(x-1) is always positive

Answer 14

well is the range y >= 0?

Answer 15

and made a typo earlier, meant to say 4^(x-1) not 4^(x-4)

Answer 16

close, the range is y > 0

4^(x-1) never gets to zero (even though it looks like it does)

Answer 17

oh, alright, thanks so much!

Answer 18

yw