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Objective: Identify even or odd functions. . Warm up Describe where is the function increasing, decreasing or constant. What is the relative maximum? What is the relative minimum?. Example 1 Classify each function as symmetric w.r.t . y-axis, origin or neither.
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Objective: Identify even or odd functions. Warm up • Describe where is the function increasing, decreasing or constant. • What is the relative maximum? • What is the relative minimum?
Example 1Classify each function as symmetric w.r.t. y-axis, origin or neither.
Identifying even or odd functions • Graphically (look for symmetry) symmetric w.r.t y-axis: even symmetric w.r.t origin (rotational symmetry): odd • Algebraically If F(- x) = F(x), then is even. If F(- x) = - F(x), then is odd. Example 2 Graph the function. Find the symmetry and decide if the function is even or odd. Confirm algebraically. a. b. c.