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Graphing Reciprocal Functions and Their Properties

Understand and graph transformations of reciprocal functions, determine domain, range, asymptotes, and more. Practice identifying properties and graphing reciprocal functions. Solve real-world problems involving reciprocal functions. Prepare for quiz on reciprocal functions.

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Graphing Reciprocal Functions and Their Properties

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  1. Ch. 8.3 Graphing Reciprocal Functions

  2. Objective SWBAT determine properties and graph transformations of reciprocal funtions SWBAT determine properties and graph transforations of reciprocal functions

  3. Reciprocal funtion A reciprocal functions has an equation of the form f(x) = , where a(x) is linear and a(x) ≠ 0 SWBAT determine properties and graph transforations of reciprocal functions

  4. Ex. 1: Determine the values of x for which the function is not defined SWBAT determine properties and graph transforations of reciprocal functions

  5. Vertical assymptote (VA): x = h Horizontal assymptote(HA): f(x) = k Domain: Range: SWBAT determine properties and graph transforations of reciprocal functions

  6. Ex. 2a: Identify the assymptotes, domain, and range of the function SWBAT determine properties and graph transforations of reciprocal functions

  7. Ex. 2b: Identify the assymptotes, domain, and range of the function SWBAT determine properties and graph transforations of reciprocal functions

  8. Practice: Identify the assymptotes, domain, and range of the function SWBAT determine properties and graph transforations of reciprocal functions

  9. Ex. 3a: Graph the function. State the domain and range SWBAT determine properties and graph transforations of reciprocal functions

  10. Ex. 3b: Graph the function. State the domain and range SWBAT determine properties and graph transforations of reciprocal functions

  11. Ex. 4: A commuter train has a nonstop service from one city to another, a distance of 25 miles. Write an equation to represent the travel time between these two cities as a funtion of rail speed. The graph the equation. (d=rt) SWBAT determine properties and graph transforations of reciprocal functions

  12. Homework p. 548 # 3-33 (x3) Ch. 8.1-8.2 quiz next class. SWBAT determine properties and graph transforations of reciprocal functions

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