MA19.8A.18

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.18
Compare and contrast relations and functions represented by equations, graphs, or tables that show related values; determine whether a relation is a function. Identify that a function $f$ is a special kind of relation defined by the equation $y = f(x)$. [Algebra I with Probability, 16]

Unpacked Content

Knowledge

Students know:

In graphing functions the ordered pairs are (x,f(x)) and the graph is y = f(x).
Techniques for graphing functions.
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).
The vertical line test can be used to determine if a graph is a function.
A function is a special kind of relation.

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

Function
Relation
vertical line test

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