[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.01,0:00:04.79,Default,,0000,0000,0000,,F of x equals x cubed is the simplest cubic function that I can think of. Since
Dialogue: 0,0:00:04.79,0:00:08.76,Default,,0000,0000,0000,,in order to be a cubic polynomial, an expression must have at least one term
Dialogue: 0,0:00:08.76,0:00:12.66,Default,,0000,0000,0000,,that's of degree 3, and that must be the term with the highest degree. This
Dialogue: 0,0:00:12.66,0:00:16.15,Default,,0000,0000,0000,,certainly does seem like the simplest cubic function we can come up with. It's
Dialogue: 0,0:00:16.15,0:00:20.77,Default,,0000,0000,0000,,just x multiplied by itself three times. Now, because this function is so basic,
Dialogue: 0,0:00:20.77,0:00:25.53,Default,,0000,0000,0000,,so primary, this gets a special name, a special designation, of being called the
Dialogue: 0,0:00:25.53,0:00:30.90,Default,,0000,0000,0000,,parent function for cubics. Just like f of x squared is the parent function for
Dialogue: 0,0:00:30.90,0:00:31.87,Default,,0000,0000,0000,,quadratics.