Cubic Functions (HSC SSCE Mathematics Advanced): Quizzes

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

If $a = 0$, function becomes quadratic

$(0, 0)$

Increases from bottom-left to top-right

Decreases from top-left to bottom-right

$(a, 0)$, $(b, 0)$, $(c, 0)$

Substitute $x = 0$ into the function

Domain: $\mathbb{R}$, Range: $\mathbb{R}$

Input values that make sense in context

Makes the curve steeper