{"id":1564,"date":"2021-12-02T19:38:31","date_gmt":"2021-12-03T00:38:31","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/11-9-your-next-years-valentine\/"},"modified":"2023-08-31T19:28:43","modified_gmt":"2023-08-31T23:28:43","slug":"your-next-years-valentine","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/your-next-years-valentine\/","title":{"raw":"11.9 Your Next Year\u2019s Valentine?","rendered":"11.9 Your Next Year\u2019s Valentine?"},"content":{"raw":"Fill in the data tables and draw the graphs for each. Use the suggested scaling for each axis.\r\n
    \r\n \t
  1. [latex]y=\\dfrac{1}{x}[\/latex]Scaling:\r\n[latex]x[\/latex]-axis: 1 square = 1\r\n[latex]y[\/latex]-axis: 1 square = 1\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    [latex]x[\/latex]<\/th>\r\n[latex]y[\/latex]<\/th>\r\n<\/tr>\r\n
    10<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    8<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.25<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.125<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.1<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
  2. [latex]x^2+y^2=9[\/latex]Scaling:\r\n[latex]x[\/latex]-axis: 2 squares = 1\r\n[latex]y[\/latex]-axis: 2 squares = 1\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    [latex]x[\/latex]<\/th>\r\n[latex]y[\/latex]<\/th>\r\n<\/tr>\r\n
    3<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    2.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    1.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22120.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22121<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22121.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22122<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22122.5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22123<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
  3. [latex]y= |-2x|[\/latex]Scaling:\r\n[latex]x[\/latex]-axis: 1 square = 1\r\n[latex]y[\/latex]-axis: 1 square = 1\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    [latex]x[\/latex]<\/th>\r\n[latex]y[\/latex]<\/th>\r\n<\/tr>\r\n
    5<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    3<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    0<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22121<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22122<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22123<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22124<\/td>\r\n<\/td>\r\n<\/tr>\r\n
    \u22125<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
  4. [latex]x=-3 |\\text{sin }y | [\/latex]Scaling:\r\n[latex]x[\/latex]-axis: 2 squares = 1\r\n[latex]y[\/latex]-axis: 1 square = 30\u00b0\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    [latex]x[\/latex]<\/th>\r\n[latex]y[\/latex]<\/th>\r\n<\/tr>\r\n
    <\/td>\r\n180\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n150\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n120\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n90\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n60\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n30\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n0\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u221230\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u221260\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u221290\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u2212120\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u2212150\u00b0<\/td>\r\n<\/tr>\r\n
    <\/td>\r\n\u2212180\u00b0<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\nAnswer Key 11.9<\/a>","rendered":"

    Fill in the data tables and draw the graphs for each. Use the suggested scaling for each axis.<\/p>\n

      \n
    1. [latex]y=\\dfrac{1}{x}[\/latex]Scaling:
      \n[latex]x[\/latex]-axis: 1 square = 1
      \n[latex]y[\/latex]-axis: 1 square = 1<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      [latex]x[\/latex]<\/th>\n[latex]y[\/latex]<\/th>\n<\/tr>\n
      10<\/td>\n<\/td>\n<\/tr>\n
      8<\/td>\n<\/td>\n<\/tr>\n
      5<\/td>\n<\/td>\n<\/tr>\n
      4<\/td>\n<\/td>\n<\/tr>\n
      2<\/td>\n<\/td>\n<\/tr>\n
      1<\/td>\n<\/td>\n<\/tr>\n
      0.5<\/td>\n<\/td>\n<\/tr>\n
      0.25<\/td>\n<\/td>\n<\/tr>\n
      0.2<\/td>\n<\/td>\n<\/tr>\n
      0.125<\/td>\n<\/td>\n<\/tr>\n
      0.1<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
    2. [latex]x^2+y^2=9[\/latex]Scaling:
      \n[latex]x[\/latex]-axis: 2 squares = 1
      \n[latex]y[\/latex]-axis: 2 squares = 1<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      [latex]x[\/latex]<\/th>\n[latex]y[\/latex]<\/th>\n<\/tr>\n
      3<\/td>\n<\/td>\n<\/tr>\n
      2.5<\/td>\n<\/td>\n<\/tr>\n
      2<\/td>\n<\/td>\n<\/tr>\n
      1.5<\/td>\n<\/td>\n<\/tr>\n
      1<\/td>\n<\/td>\n<\/tr>\n
      0.5<\/td>\n<\/td>\n<\/tr>\n
      0<\/td>\n<\/td>\n<\/tr>\n
      \u22120.5<\/td>\n<\/td>\n<\/tr>\n
      \u22121<\/td>\n<\/td>\n<\/tr>\n
      \u22121.5<\/td>\n<\/td>\n<\/tr>\n
      \u22122<\/td>\n<\/td>\n<\/tr>\n
      \u22122.5<\/td>\n<\/td>\n<\/tr>\n
      \u22123<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
    3. [latex]y= |-2x|[\/latex]Scaling:
      \n[latex]x[\/latex]-axis: 1 square = 1
      \n[latex]y[\/latex]-axis: 1 square = 1<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      [latex]x[\/latex]<\/th>\n[latex]y[\/latex]<\/th>\n<\/tr>\n
      5<\/td>\n<\/td>\n<\/tr>\n
      4<\/td>\n<\/td>\n<\/tr>\n
      3<\/td>\n<\/td>\n<\/tr>\n
      2<\/td>\n<\/td>\n<\/tr>\n
      1<\/td>\n<\/td>\n<\/tr>\n
      0<\/td>\n<\/td>\n<\/tr>\n
      \u22121<\/td>\n<\/td>\n<\/tr>\n
      \u22122<\/td>\n<\/td>\n<\/tr>\n
      \u22123<\/td>\n<\/td>\n<\/tr>\n
      \u22124<\/td>\n<\/td>\n<\/tr>\n
      \u22125<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n
    4. [latex]x=-3 |\\text{sin }y |[\/latex]Scaling:
      \n[latex]x[\/latex]-axis: 2 squares = 1
      \n[latex]y[\/latex]-axis: 1 square = 30\u00b0<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      [latex]x[\/latex]<\/th>\n[latex]y[\/latex]<\/th>\n<\/tr>\n
      <\/td>\n180\u00b0<\/td>\n<\/tr>\n
      <\/td>\n150\u00b0<\/td>\n<\/tr>\n
      <\/td>\n120\u00b0<\/td>\n<\/tr>\n
      <\/td>\n90\u00b0<\/td>\n<\/tr>\n
      <\/td>\n60\u00b0<\/td>\n<\/tr>\n
      <\/td>\n30\u00b0<\/td>\n<\/tr>\n
      <\/td>\n0\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u221230\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u221260\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u221290\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u2212120\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u2212150\u00b0<\/td>\n<\/tr>\n
      <\/td>\n\u2212180\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n

      Answer Key 11.9<\/a><\/p>\n","protected":false},"author":90,"menu_order":9,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1564","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1491,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1564\/revisions"}],"predecessor-version":[{"id":2179,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1564\/revisions\/2179"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1491"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1564\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1564"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1564"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1564"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}