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Understanding Piecewise Functions: Graphing, Domains, and Ranges

In today's lesson, we will delve into piecewise-defined functions, focusing on key concepts such as domain and range, graph interpretation, and symmetry (even and odd functions). You'll learn through practical application by sketching functions and identifying their characteristics. We’ll also explore composite functions. For our assignment, refer to pages 19-21 and complete questions 5-12, 14, 20, 22, 26, 30, 32, 34, 42, 43, 44, 51, and 56. Ensure that all work is shown; incomplete submissions will not receive credit.

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Understanding Piecewise Functions: Graphing, Domains, and Ranges

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  1. Hon. Calc. – Warm Up Graph the piecewise-defined function:

  2. Any homework questions?

  3. Functions and Graphs In today’s lesson, you will focus on applying the following: Functions Domain and Range Viewing and Interpreting Graphs Even and Odd Functions (Symmetry) Piecewise Functions Composite Functions

  4. Example Consider the function Sketch the function What is the range and domain? Is this an even or odd function?

  5. Function Assignment Pages 19 – 21 Questions 5 – 12, 14, 20, 22, 26, 30, 32, 34, 42, 43, 44, 51, and 56 All relevant work and/or explanations must be shown for EVERY question. Otherwise, no credit will be given.

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