MathematicsCode 4024
Sketching curves
What this topic asks you to be able to do
- Recognise and interpret, as well as sketch, graphs for functions of these types: (a) linear (b) quadratic (c) cubic (d) reciprocal (e) exponential.
- The functions covered take the forms ax + by = c, y = ax² + bx + c, y = ax³ + b, y = ax³ + bx² + cx, y = a/x + b and y = arx + b, with a, b and c rational numbers and r a positive rational number.
- Students must know about turning points, roots and symmetry.
- Students must know about vertical and horizontal asymptotes.
- Students must locate the turning points of quadratic functions by completing the square.