Graphical Behaviour of Functions (HSC SSCE Mathematics Advanced): Quizzes

$f(x)$ is increasing

$f'(x) = 0$

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

2

At stationary points of $f(x)$

Above the $x$-axis

$x = 0$ and $x = 4$

$f'(c) \approx \frac{f(c+h) - f(c)}{h}$

$f(x)$ is decreasing

Draw tangent; calculate its gradient