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Math II Day 42 (3-8-10)

Math II Day 42 (3-8-10). UNIT QUESTION: How are absolute value equations similar to piecewise functions? Standard: MM2A1 Today’s Question: How do we graph absolute value inequalities? Standard: MM2A1.b,c. Absolute Value Functions. General Form: y = a | x – h | + k.

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Math II Day 42 (3-8-10)

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  1. Math IIDay 42 (3-8-10) UNIT QUESTION: How are absolute value equations similar to piecewise functions? Standard: MM2A1 Today’s Question: How do we graph absolute value inequalities? Standard: MM2A1.b,c

  2. Absolute Value Functions General Form: y = a | x – h | + k Characteristics: 1. The graph is V-shaped 2. Vertex of the graph: (h, k) • a acts as the slope for the right hand side (the left side is the opposite)

  3. Absolute Value Functions Parent Graph: y = | x | Graph Transformations What effect does each one have on the parent graph? y = a | x – h | + k *Opens up/down *Moves left/right *Moves up/down *Fat/skinny

  4. Graphing Abs Value Functions y = |x| + 3 y = |x| -1 y = |x - 2| y = |x + 1| - 3 y = 2 |x| y = ⅔ |x|

  5. Determine the vertex of the following functions. State whether the graph will open up or down. How does it change from parent graph? • y = 2 |x - 2| + 3 4. y = 1/3 |x| + 5 • y = -|x + 5| - 6 5. y = |x| • y = -2|x + 2|

  6. Graphing Abs Value Inequalities y < |x| + 3 y ≥ 2 |x| - 5

  7. Characteristics of Functions Domain Range Increasing Decreasing Constant Zeroes Max, Min

  8. Characteristics of Functions Domain Range Increasing Decreasing Constant Zeroes Max, Min

  9. Transformations of Graphs Activity

  10. Homework Page 42 #2-26 (even)

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