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13 -4 The Sine Function

13 -4 The Sine Function. Today’s Objective: I can graph the sine function. OR. Domain: Range: Period: Amplitude:. All real numbers. – 1 ≤ y ≤ 1. 2 π. 1. Period of a Sine Curve. Calculator [MODE]: Radians [WINDOW] Xmin = 0 Xmax = 2 π Xscl = π /2 Ymin = – 2 Ymax = 2

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13 -4 The Sine Function

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  1. 13-4The Sine Function Today’s Objective: I can graph the sine function.

  2. OR Domain: Range: Period: Amplitude: All real numbers – 1 ≤ y ≤ 1 2π 1

  3. Period of a Sine Curve Calculator [MODE]: Radians [WINDOW] Xmin = 0 Xmax = 2π Xscl = π/2 Ymin = – 2 Ymax = 2 Yscl = 0.5 b = # of cycles from 0 to 2π Period of function =

  4. Amplitude of a Sine Curve Calculator [MODE]: Radians [WINDOW] Xmin = 0 Xmax = 2π Xscl = π/2 Ymin = – 2 Ymax = 2 Yscl = 0.5 = amplitude (stretch) – a = reflects graph across x-axis

  5. Find amplitude and period for each graph or equation. 2. 1. or 0.5 • Amplitude = • Period = • Amplitude = • Period = 3. • Amplitude = • Period =

  6. Sketching a Sine Curve Graph • Amplitude = Find amplitude and period. Plot 5 points:Midline pointsBeginning,EndMiddle Amplitude pointsMaxMin 3. Sketch curve. • Period = 5 points: midline – max– midline – min – midline

  7. Sketching a Sine Curve Graph • Amplitude = Find amplitude and period. Plot 5 points Sketch curve. • Period = Pg. 856 #12-36 evens 5 points: midline – max– midline – min – midline

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