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3. Asymptotes.notebook 1 October 27, 2016 Asymptotes y=C y=D (A,0) (0,C) (B,0) (0,D) x=B x=A y x Vertical Asymptotes (can never be crossed!!) If OR then "x = c" is a vert. asymptote *** when is the denominator = 0 ? *** Horizontal (Oblique) Asymptotes (may be crossed!!) If OR then "y = L" is a hor. asymptote

Asymptotes - Weebly · 2018. 9. 1. · 3. Asymptotes.notebook 2 October 27, 2016 example: determine any asymptotes then sketch using only intercepts & asymptotes a) 1086420 2 4 6

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  • 3. Asymptotes.notebook

    1

    October 27, 2016

    Asymptotes

    y=C

    y=D

    (A,0)

    (0,C)

    (B,0)

    (0,D)

    x=Bx=Ay

    x

    Vertical Asymptotes (can never be crossed!!)If                         OR

    then  "x = c"  is a vert. asymptote   *** when is the denominator = 0 ? ***

    Horizontal (Oblique) Asymptotes (may be crossed!!)

    If                        OR

    then  "y = L"  is a hor. asymptote

  • 3. Asymptotes.notebook

    2

    October 27, 2016

    example: determine any asymptotes then sketch using only     intercepts & asymptotes

    a)

    10 8 6 4 2 0 2 4 6 8 10

    10

    5

    5

    10

    15

    20

    25

    30

    35

    40

    x

    y

    b)

    3 2 1 0 1 2 3

    3

    2

    1

    1

    2

    3

    x

    y

  • 3. Asymptotes.notebook

    3

    October 27, 2016

    c)

    20 15 10 5 0 5 10

    10

    5

    5

    10

    x

    y

    P.193#1,2,5, 7, 9  10ace, 14

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