MA19.A2.15

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.15
Functions can be described by using a variety of representations: map\ping diagrams, function notation (e.g., $f(x) = x^2$), recursive definitions, tables, and graphs.

Unpacked Content

Knowledge

Students know:

Techniques to find key features of functions when presented in different ways.
Techniques to convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions).

Skills

Students are able to:

Accurately determine which key features are most appropriate for comparing functions.
Manipulate functions algebraically to reveal key functions.
Convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions) for the purpose of comparing it to another function.

Understanding

Students understand that:

Functions can be written in different but equivalent ways (algebraically, graphically, numerically in tables, or by verbal descriptions).
Different representations of functions may aid in comparing key features of the functions.

Vocabulary

Algebraic expressions
Polynomial functions
Trigonometric functions (sine and cosine)
Logarithmic functions
Exponential functions
Radical functions
General piecewise functions

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