Families of Functions (VCE SSCE Mathematical Methods): Flashcards
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Defn: Family of functions
Defn: Family of functions
Related functions, same form, differ by parameters
Parameters in function families
Parameters in function families
Constants differentiating functions in the family
Stationary points occur where
Stationary points occur where
Method to determine nature of stationary pt
Method to determine nature of stationary pt
Examine sign of on either side of point
Local max: sign change
Local max: sign change
Positive to negative
Translation right, up transforms to
Translation right, up transforms to
What translations preserve
What translations preserve
Shape and orientation of graph
Two conditions from stationary point
Two conditions from stationary point
Point on curve () and
Stationary pts in parametric families given as
Stationary pts in parametric families given as
In terms of parameters