Cubic Functions (HSC SSCE Mathematics Advanced): Flashcards

Polynomial function of degree 3

$f(x) = ax^3 + bx^2 + cx + d$

$a \neq 0$

$f(x) = kx^3$ where $k \neq 0$

Origin $(0, 0)$

Increases from bottom-left to top-right

Decreases from top-left to bottom-right

Both are $\mathbb{R}$ (all real numbers)

$f(x) = k(x-a)(x-b)(x-c)$ where $k \neq 0$

At points $(a, 0)$, $(b, 0)$, and $(c, 0)$