Question

how do you know the asymptote of (1/4)^x

Answer 1

as x gets larger and larger, (1/4)^x gets smaller and smaller and gets closer to 0

Answer 2

so the horizontal asymptote of f(x) = (1/4)^x is y = 0

Answer 3

@jim_thompson5910 so the asymptote is 0?

Answer 4

y = 0 yes

that's the horizontal asymptote

Answer 5

but my teacher drew it, and the asymptote went past zero

Answer 6

@jim_thompson5910

Answer 7

y = 0 is the horizontal line through y = 0

ie it's the x axis

Answer 8

Oh wait, you're correct. Thank you!

Answer 9

so basically f(x) = (1/4)^x doesn't cross the x axis

Answer 10

yw