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021-Para Sings: "Exponential"

posted Nov 21, 2012, 4:43 PM by Gregory Taylor   [ updated Nov 21, 2012, 5:00 PM ]
PARA SINGS 08

ax2 + bx + c  presents....

"Exponential"
  (*aka "Brokenhearted", Karmin)

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Official Music Video:  YouTube Here

Actual Lyrics:  YouTube Here




***
Oh. Yeeeeah. Uh, common... yeah.

She is not just a typical relation
Table shows, we suppose, the very foundation
O-ho. Thinking polynomial?
What is this, what's amiss, I can't use x-squared
Degree three, woe is me, find I'm unprepared
O-ho. Here's a testimonial.


Uh-oh, yup.
[Rapping]
So you think it's a tricky situation
Doing your subtracting, yup, finding frustration
First diff'rence, next diff'rence, should've tried a power
x as an exponent, (so) it can tower
O-ho. Need a common ratio!


[Chorus]
See you should be dividing
Those numbers you're deriding.
So power up, it's essential
That you find an exponential model.
Come on, that's right

Asymptote at zero?
Like a superhero
That base is really influential
When you find an exponential model.
Common, that's right, ratio


What's in front, let's be blunt,
The y-intercept
Where you start, plays a part, this we must accept
O-ho, the initial value's shown.
Oh yeah.

Could go up, could go down, 
Better check that base
Can't be one, that's no fun, but is a test case
O-ho, soon you will be in the zone.

No, no, no...

[Chorus]
See you should be dividing
Those numbers you're deriding.
So power up, it's essential
That you find an exponential model.
Come on, that's right

Asymptote at zero?
Like a superhero
That base is really influential
When you find an exponential model.
Common, that's right, ratio
f(x) = 2(3)^x + 5             .
2(3)^x + 5
[Rapping]
Consider how we began, and give this a scan
Asymptote can move and then, gone is your plan
Handling it first, that you'll have to do
Hopefully you know - what will make this model true?
This kinda thing, it will happen normally
I'm thinking that is why we work so formally
With the refit, divide to get it,
A ratio.

[Chorus]
See you should be dividing
Those numbers you're deriding.
So power up, it's essential
That you find an exponential model.

Asymptote at zero?
Like a superhero
That base is really influential
When you find an exponential model.
Common, that's right, rati-rati--

Geometric means
Just find an exponential
If no in-betweens
That pattern goes sequential
O-ho, need a common ratio!
Common, that's right, ratio.  Huh.


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