Unit 4 Pt 2 Graphs

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7 Terms

1
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y = csc (x)

  • Vertical asymptotes at multiples of pi

  • U-shaped curves opening up/down between asymptotes

2
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y = sec (x)

  • Vertical asymptotes at multiples of pi/2

  • U-shaped curves like csc but shifted

3
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y = tan (x)

  • Vertical asymptotes at odd multiples of pi/2

  • Increasing S-curve crossing the origin

4
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y = cot(x)

  • Vertical asymptotes at multiples of pi

  • Decreasing S-curve

5
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y = sin-1 (x)

  • Increasing curve from ( -1, -pi/2) to (1, pi/2)

  • Domain only [-1,1]

6
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y = cos-1 (x)

  • Decreasing curve from (-1, pi) to (1,0)

  • Domain only [-1,1]

7
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y = tan-1 (x)

  • Horizontal asymptotes at y = +- pi/2

  • Increasing S-curve flattening top/bottom