Here is the first in a series of "HSC Tips" threads. Please feel free to suggest more tips.
Tips for Graphs:
- Plot and LABEL axis (including the origin)
- Plot critical points (end points, turning points, x/y intercepts, etc)
- Plot asymtopes
- Check behaviour of graph in the different regions created by the critical points before drawing
- Look at behaviour as x -> +/- "infinity"
- Draw LARGE graphs, at least 1/2 page of exam booklet.
- DO NOT use calculas to determine aspects of the graph.
- Know the shape of "standard" graphs:
-- y = 1/f(x)
-- y = |f(x)|
-- y^2 = f(x) [Treat this as y = +/- sqrt(f(x))]
-- y = f^-1(x) [Reflected through y=x]
Tips for Graphs:
- Plot and LABEL axis (including the origin)
- Plot critical points (end points, turning points, x/y intercepts, etc)
- Plot asymtopes
- Check behaviour of graph in the different regions created by the critical points before drawing
- Look at behaviour as x -> +/- "infinity"
- Draw LARGE graphs, at least 1/2 page of exam booklet.
- DO NOT use calculas to determine aspects of the graph.
- Know the shape of "standard" graphs:
-- y = 1/f(x)
-- y = |f(x)|
-- y^2 = f(x) [Treat this as y = +/- sqrt(f(x))]
-- y = f^-1(x) [Reflected through y=x]
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