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. [latex]y=\dfrac{1}{x}[/latex]Scaling:
    [latex]x[/latex]-axis: 1 square = 1
    [latex]y[/latex]-axis: 1 square = 1

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

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

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

    [latex]x[/latex] [latex]y[/latex]
    180°
    150°
    120°
    90°
    60°
    30°
    −30°
    −60°
    −90°
    −120°
    −150°
    −180°

Answer Key 11.9

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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