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Reciprocal Functions Graphing Assignment

Graph reciprocal functions without a calculator, observe patterns, and complete assigned worksheets.

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Reciprocal Functions Graphing Assignment

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  1. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 total: –10 Assignment, pencil red pen, highlighter, GP notebook, graphing calculator U4D7 Have out: Bellwork: Graph each function on the same set of axes. Be sure to identify the inflection point. f(x) = (x + 4)3 – 2 f(x) = (x + 4)3 – 2 inflection point: (–4, –2) +1 +3 +3 inflection point: (5, 3) +1

  2. y 8 6 4 2 x –2 –8 –6 –4 2 6 4 8 –2 –4 –6 –8 PG – 77 Asymptote Recall: A line that is a close approximation to a particular curve as the curve goes off to infinity in one direction. The curve becomes very, very close to the asymptote line, but never touches it. Asymptote: vertical asymptote x = – 3 Example: horizontal asymptote y = 0

  3. Yesterday we grouped the following equations: cubic reciprocal exponential Done Today we will look at reciprocal functions. Be sure to have a graphing calculator.

  4. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 –10 Reciprocal Group name: _______________ Functions (parent graph) (0, 0) Equation: _____ locator point: _____ x = 0 Locator point (0, 0) y = 0 Link to Geo Sketch

  5. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 –10 (h, k) (0, –4) Equation: ________ locator point: _____ x = 0 Locator point (0, -4) y = -4 Link to Geo Sketch

  6. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 –10 (h, k) (3, 0) Equation: ________ locator point: _____ x = 3 Locator point (3, 0) y = 0 Link to Geo Sketch

  7. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 –10 (h, k) x = –3 (–3, 1) Equation: ________ locator point: _____ Locator point (–3, 1) y = 1 Link to Geo Sketch

  8. PARENT GRAPH TOOLKIT y 10 Name: Reciprocal 8 Parent Equation: 6 4 Description of Locator: (1, 1) 2 y = 0 x (0, 0) intersection of asymptotes (h, k) 2 4 –2 –4 (–1, –1) –2 General Equation: –4 –6 –8 Properties: –10 x = 0 vertical asymptote Range: Domain: x = h {x| x  h} {y| y  k} horizontal asymptote y = k

  9. y 10 8 6 4 2 x –2 2 4 6 8 10 –10 –8 –6 –4 –2 –4 –6 –8 –10 Based on the patterns you have observed, graph the next 4 reciprocal functions on the worksheet WITHOUT using a graphing calculator.

  10. Finish today's assignment: PG 69-73 & worksheets

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