The General Cubic Function (VCE SSCE Mathematical Methods): Flashcards

$f(x) = ax^3 + bx^2 + cx + d$ where $a \neq 0$

One, two, or three

No, some increase/decrease continuously without turning points

Turning point that touches (not crosses) the x-axis

Shows where function is positive or negative

The sign alternates

Whether graph rises or falls as $x$ increases

Calculus (or CAS calculator for approximations)

Substitute $x = 0$ into the function

Two (local maximum and local minimum)