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Analyzing Functions and Graphs with Varying Parameters

Complete problems analyzing functions and graphs with different parameters, exploring domain, range, intercepts, and asymptotes. Generate tables, graphs, and conclusions about function behavior.

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Analyzing Functions and Graphs with Varying Parameters

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  1. Lesson 1.2.2 Complete Problems 1-79, 1-80a and Honors also complete: 1-83

  2. Problem 1-79

  3. Problem 1-80a • Now each person in your group picks a different value for h. • Make a table • Make a graph

  4. Problem 1-83 • Investigating the graph of

  5. So What did we learn? • For any function f(x) = 1 _ (x – h) • The domain is… 2. The range is… 3. The x- and y- intercepts are… 4. As x approaches -∞ the value of the function gets… As x approaches ∞ the value of the function gets… As x approached the value of h from either direction the value of the function gets… 5. **Asymptotes are lines that a graph approaches but DOES NOT intersect! The asymptotes of the function f(x) = 1 _ are… (x – h)

  6. Homework • Problems 1-84 to 1-90 • Problems 1-91 to 1-97

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