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ValentinaT

  • 2 years ago

Identify the asymptotes of the graph of each function. Then graph the function.

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  1. ValentinaT
    • 2 years ago
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    \[y = \frac{ 1 }{ x + 2 }\]

  2. Mertsj
    • 2 years ago
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    The vertical asymptote occurs where the denominator is 0. What value of x makes the denominator 0?

  3. ValentinaT
    • 2 years ago
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    -2.

  4. Mertsj
    • 2 years ago
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    So the vertical asymptote is x = -2

  5. ValentinaT
    • 2 years ago
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    Okay, now to graph the function.

  6. Mertsj
    • 2 years ago
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    |dw:1368222257318:dw|

  7. Mertsj
    • 2 years ago
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    Now we know that the degree of the numerator is less than the degree of the denominator so that means that the y axis is a horizontal asymptote.

  8. Mertsj
    • 2 years ago
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    So you need to figure out which two areas the two branches will be in.

  9. Mertsj
    • 2 years ago
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    |dw:1368222410758:dw|

  10. Mertsj
    • 2 years ago
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    Can you figure that out?

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