Graphs of Factorised Cubic Functions (VCE SSCE Mathematical Methods): Flashcards

$y = ax^3 + bx^2 + cx + d$ where $a \neq 0$

At least one; can be 1, 2, or 3

Set $x = 0$; gives point $(0, d)$

Set $y = 0$ and solve for $x$

Number-line showing when expression is positive or negative

Sign changes from one side to the other

Reflection in the x-axis

Same sign on both sides of intercept

At the corresponding x-axis intercept

Positive: rises right; negative: falls right