Sketching Graphs (Grade 12 NSC Matric Mathematics): Flashcards

$y = ax^3 + bx^2 + cx + d$

Rises left to right, S-shaped curve

Substitute $x = 0$ into function

Set $f(x) = 0$ and solve for $x$

1, 2, or 3

$f'(x) = 0$

Local maximum and local minimum

When $f'(x) > 0$

When $f'(x) < 0$

When $f''(x) > 0$