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# Functions, their Graphs and Operations

Description:

This unit builds on the student's prior learning of how to find a rule that takes a given input value to exactly one output value. In this unit students will be able to identify when a relation is a function and use proper vocabulary (domain and range) and function notation as well as notation for domain and range.

Families of functions will be reviewed in this unit including linear, absolute value, quadratic, radical, exponential, logarithmic, and rational families of functions. Students will use graphs, tables and equations to identify the parent function and be able make a graph from the information in an equation and vice versa. This unit also builds on students’ understanding of function transformations. Students will learn about piecewise functions and operations of functions as well as be introduced to composition of functions.

Students will continue to use the concepts learned in this unit throughout the remainder of the course and in high school courses.

Learning Targets:
Understand the concept of a function and use function notation.
Build a function that models a relationship between two quantities.
Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Build new functions from existing functions.
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