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Home > PC3 > Chapter 12 > Lesson 12.2.1 > Problem 12-105

12-105.

My mystery function, f, has all of the following attributes:

  • does not exist, but approaches negative infinity.

  • does not exist, but approaches positive infinity.

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

    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.