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009-Para Sings: "Polynomials"

posted Feb 12, 2012, 5:45 AM by Gregory Taylor   [ updated Feb 12, 2012, 6:14 AM ]
PARA SINGS 05

ax2 + bx + c  presents....

"Polynomials"
  (*aka "California Gurls" [sic], Katy Perry)

featuring ROOT!

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    Song Lyric Reference: 
               YouTube Here
      Official Music Video:
               YouTube Here 


[Root:]
Advanced Functions --
Let's do some graphing

[Para:]
I have some terms
Count them as your first objective:
One, two or three
'Nomial' names are now selected

If there's only 'x'
Using terms of different degrees
That's a function
You can graph with relative ease (no fuss)


Take the biggest exponent
Our turning points count
Less than that amount

Max and min or inflection
You'll be checking with slope   (Oh. OhOhOhOhOhOh.)

[Chorus!]
PO-LY-NO-MI-ALS
We're differentiable
What's in front used to be on top
D-Y by D-X
You're going tangential
   (OhOhOhOh. Oh. Oooooh.)

PO-LY-NO-MI-ALS
We're so reliable
Zero set
Your values will drop

Note end behaviour
Now join your points up   (OhOhOhOh. Oh. Oooooh.)


Check intercepts
Use factor theorem if you have to
We seek
Frequency
For do we turn or do we pass through?


Take the biggest exponent
Our turning points count
Less than that amount

Max and min or inflection
You'll be checking with slope   (Oh. OhOhOhOhOhOh.)

[Chorus!]
PO-LY-NO-MI-ALS
We're differentiable
What's in front used to be on top
D-Y by D-X
You're going tangential
   (OhOhOhOh. Oh. Oooooh.)

PO-LY-NO-MI-ALS
We're so reliable
Zero set
Your values will drop

Note end behaviour
Now join your points up    (OhOhOhOh. Oh. Oooooh.)


[Root:]
Mono, bi, tri and poly
Terms we got have me thinkin' golly,
F prime of X
This is the part I find complex
What this becomes
What this and that becomes
This side
That side
Squeeze theorem?

My term's a freak
I've no technique...
Here's my critique:
I'm astray
Just halfway
In disarray
That power's too risque!
Didn't check
Exponents...
Polys need those components

My graph
Doodling
Pointless as
Noodling
Linguines, Rotinis
In Beanies, with Genies
Don't forget fettuchines

Para, you know (yeah?)
There is a motto (uh huh)
Know differentials
When you will be graphing Polynomials


[Chorus!]
PO-LY-NO-MI-ALS
We're differentiable
What's in front used to be on top
D-Y by D-X
You're going tangential
(OhOhOhOh. Oh. Oooooh.)

PO-LY-NO-MI-ALS
We're so reliable
Zero set
Your values will drop

Note end behaviour
     (right most, right most)
Now join your points up 
     (heyyy... heyyy....)
    (OhOhOhOh. Oh. Oooooh.)

POLY, POLY.... PO-LY-NO-MI-ALS
(Polynomials, man)
POLY, POLY.... PO-LY-NO-MI-ALS
(I really wish all functions could be polynomials.)

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