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Sketch the graph of y = . 1-27 HW eTool (Desmos). Homework Help ✎

  1. Why does this graph have a vertical asymptote? What is the equation of that asymptote?

    Consider your answer to 1-26(d).

    Vertical asymptotes are lines with undefined slopes. Their equations are of the form: x = k where k is a constant.

  2. State the equation of the horizontal asymptote.

    Consider the horizontal lines that you found in problem 1-22(b).

    Horizontal asymptotes are lines with 0 slope. Their equations are of the form: y = 0x+b or y = k, where k is some constant.

  3. Alter the equation y = so that the vertical asymptote is x = 1 and the horizontal asymptote is y = 3.

    Use the eTool below to view the graphs.
    Click the link at right for the full version of the eTool: Calc 1-27 HW eTool