Question

does A=(0.01)(1.1^t/8) have an asymptote?
why or why not?

Answer 1

yes A can never equal zero

Answer 2

but if the graph is always increasing even if it's by very small increments, is it still an asymptote?

Answer 3

the asymptote is horizontal ie A=0 there is no vertical asymptote

Answer 4

ohhh ok. thanks!

Answer 5

no problem, if you drew it on an axis you would see that the line would never cross the x axis and it would grow without bound forever

Answer 6

what about something liek p(t)=100(4^t) where the graph would be vertical?

Answer 7

never ever ever ever ever. it would become very very steep for large values of t but it would never be completly vertical

Answer 8

so is that called an asymptote because it'll never reach 0. a vertical asymptote?