View source for HSC Extension 1 and 2 Mathematics/4-Unit/Graphs

'''Curve sketching''' is a way of interpreting a given equation as a diagram. More specifically, this allows students to visually represent limit behaviours in a way that follows university mathematics. In the HSC, curve sketching is predominantly an Extension 2 topic. However, basic graphs can often be asked in Extension 1.

== Introduction ==

== Systematic approach ==
=== Domain and range ===
=== Asymptotes ===
==== Horizontal asymptotes ====
==== Oblique asymptotes ====

==== Vertical asymptotes ====
=== Limit behaviours ===
=== Intercepts ===
== Graphing <math>f^{-1}(x)</math> ==
== Graphing <math>\frac{1}{f(x)}</math> ==

=== 1995 3a (iv) ===
<math>\text{Let } f(x) = -x^2 + 6x - 8.</math>

<math>\text{On separate diagrams, and without using calculus, sketch the following graphs.}</math>
<math></math>
<math>\text{Indicate clearly any asymptotes and intercepts with the axes.}</math>
<math></math>


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