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11-57.

My mystery function has the following attributes:

  • It approaches as approaches positive infinity.

  • It approaches as approaches negative infinity.

  • It approaches negative infinity as approaches from the right.

  • It approaches positive infinity as approaches from the left.

  1. What, if anything, can you conclude about the asymptotes of ?

    If approaches , you are moving right/left on the graph.
    What type of asymptote is this?

    If the function is approaching , your are moving up/down on the graph.
    What type of asymptote is this?

  2. Sketch a possible graph having these attributes.

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