Chapter 11: Functions

11.9 Your Next Year’s Valentine?

Fill in the data tables and draw the graphs for each. Use the suggested scaling for each axis.

  1. y=\dfrac{1}{x}Scaling:
    x-axis: 1 square = 1
    y-axis: 1 square = 1

    x y
    10
    8
    5
    4
    2
    1
    0.5
    0.25
    0.2
    0.125
    0.1
  2. x^2+y^2=9Scaling:
    x-axis: 2 squares = 1
    y-axis: 2 squares = 1

    x y
    3
    2.5
    2
    1.5
    1
    0.5
    0
    −0.5
    −1
    −1.5
    −2
    −2.5
    −3
  3. y= |-2x|Scaling:
    x-axis: 1 square = 1
    y-axis: 1 square = 1

    x y
    5
    4
    3
    2
    1
    0
    −1
    −2
    −3
    −4
    −5
  4. x=-3 |\text{sin }y |Scaling:
    x-axis: 2 squares = 1
    y-axis: 1 square = 30°

    x y
    180°
    150°
    120°
    90°
    60°
    30°
    −30°
    −60°
    −90°
    −120°
    −150°
    −180°

<a class=”internal” href=”/intermediatealgebraberg/back-matter/answer-key-11-9/”>Answer Key 11.9

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