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

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

Whether graph rises or falls as $x$ increases

One, two, or three

No, some have none (e.g., $f(x) = x^3 + x$)

No, they do not occur symmetrically

A repeated factor in factorised form

The sign alternates at each x-intercept

Cubics have variety; quadratics all have same parabola shape

Zero, one, or two

Calculus (differential calculus)