Exponential Function
Illustrated by Alice Wang
Exponential functions always have a horizontal asymptote
noted as “k”,
an unreachable horizontal line the curve is reaching for.
In fact, the x will always be running after infinity.
Its equation blurts out like this:
F(x)=ac^[b(x-h)]+k
At first, it electrocutes your brain, the confusion leaving your consciousness numb
but as calculations go by, you figure out the only thing that matters is that
the curve in your graph will never reach an end
because there is no end to infinity.
It is fairly strange
because it really does look like at some point the curve is going to meet “k”
but in order to cross this unreachable horizontal line
you have to reach infinity.
Time always has a horizontal asymptote
Noted as “the ultimate end”
Which is an unreachable horizontal line the time is running after.
In fact, time will always be chasing infinity.
Its equation goes like this:
time = ∞
At first it sinks your existence in the bottom of a lost ocean
but as waves sweep by, your heart accepts that
when it stops beating, time will still be flowing
because a current has no end.
It is fairly strange
because it really does seem the current will stop one day
but in order to cross this line of inertia
time will have to freeze.

Comments
jitteryeducator
May 25, 2026I love how you broke down the applications of exponential functions in real life! As a math educator, I see students struggle with this concept. What strategies do you recommend for making it relatable? https://phrazle.co
You have to be registered and logged in in order to post comments!