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Topics
Functions and their graphs
Identifying curves and equations
Polynomial curve sketching
Lesson
Practice
Use graph of y=f(x) to sketch f(x) +k and y = f(x-a)
Transformations of functions
Graphs and vertical translations
Stretches, Compressions and Symmetry
Mixed Graphs I (linear, quad, exp, circles)
Mixed graphs II (linear, quad, cubic, 1/x)
Mixed Graphs III (quad, exp, cubic, 1/x)
Asymptotes and discontinuities
Number of solutions (from a graph)
Domains (graphs and equations)
Interpreting key features of non-linear graphs
Modelling non-linear relationships
Interpolation and extrapolation of information from non-linear graphs
Graphing continuous and discontinuous functions
Graphing curves using graphic calculators
Applications of polynomials
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CanadaON
Grade 12

Polynomial curve sketching

Lesson
Practice
Lesson

Outcomes

12F.C.1.1

Recognize a polynomial expression; recognize the equation of a polynomial function, give reasons why it is a function, and identify linear and quadratic functions as examples of polynomial functions

12F.C.1.2

Compare, through investigation using graphing technology, the numeric, graphical, and algebraic representations of polynomial functions

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