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- Each interval is a quarter-turn stretch between two neighboring key points.\left(\dfrac{\pi}{2}, \pi\right)\left(-\dfrac{\pi}{2}, 0\right)\left(\dfrac{5\pi}{2}, 3\pi\right)\left(-3\pi, -\dfrac{5\pi}{2}\right)\left(\dfrac{7\pi}{2}, 4\pi\right)
- Each list is meant to be the five key points of one cycle of y = x or of y = x.
- Use the graph of y = x on [-π, 3π].c = 1c = 0.3c = -1c = -0.95c = -1.2
- Sketch y = x on [-3π2, π].
- The figure shows y = x with the x-axis marked every π2.
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Graphing sine and cosine: the lesson ›More Chapter 4 worksheets: Trigonometric functions and their graphs
- 4.1Periodic functions
- 4.2Graphing sine and cosine
- 4.3Amplitude and reflection
- 4.4Finding the period from the equation
- 4.5Phase shift
- 4.6Midline and vertical shift
- 4.7Writing an equation from a wave
- 4.8Graphing tangent and the reciprocal functions
- 4.9Inverse trig functions
- 4.10Composing trig and inverse trig functions
- 4.11Height on a turning wheel
- 4.12Tides, daylight and sound
- 4.13Simple harmonic motion