{"id":12187,"date":"2015-08-17T18:27:07","date_gmt":"2015-08-17T18:27:07","guid":{"rendered":"https:\/\/courses.candelalearning.com\/osprecalc\/?post_type=chapter&#038;p=12187"},"modified":"2019-09-09T21:31:15","modified_gmt":"2019-09-09T21:31:15","slug":"solutions-functions-practice-test","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-functions-practice-test\/","title":{"raw":"Solutions: Functions Practice Test","rendered":"Solutions: Functions Practice Test"},"content":{"raw":"1. The relation is a function.\r\n\r\n3. \u221216\r\n\r\n5. The graph is a parabola and the graph fails the horizontal line test.\r\n\r\n7. [latex]2{a}^{2}-a[\/latex]\r\n\r\n9. [latex]-2\\left(a+b\\right)+1[\/latex]\r\n\r\n11. [latex]\\sqrt{2}[\/latex]\r\n\r\n13.\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005127\/CNX_Precalc_Figure_01_07_242.jpg\" alt=\"Graph of f(x).\" data-media-type=\"image\/jpg\" \/>\r\n\r\n15. even\r\n\r\n17. odd\r\n\r\n19. <em>x\u00a0<\/em>= \u20137 and <em>x\u00a0<\/em>= 10\r\n\r\n21. [latex]{f}^{-1}\\left(x\\right)=\\frac{x+5}{3}[\/latex]\r\n\r\n23.\u00a0[latex]\\left(-\\infty ,-1.1\\right)\\text{ and }\\left(1.1,\\infty \\right)[\/latex]\r\n\r\n25.\u00a0[latex]\\left(1.1,-0.9\\right)[\/latex]\r\n\r\n27.\u00a0[latex]f\\left(2\\right)=2[\/latex]\r\n\r\n29.\u00a0[latex]f\\left(x\\right)=\\begin{cases}|x|\\text{ if }x\\le 2\\\\ 3\\text{ if }x&gt;2\\end{cases}[\/latex]\r\n\r\n31.\u00a0[latex]x=2[\/latex]\r\n\r\n33.\u00a0yes\r\n\r\n35.\u00a0[latex]{f}^{-1}\\left(x\\right)=-\\frac{x - 11}{2}[\/latex]","rendered":"<p>1. The relation is a function.<\/p>\n<p>3. \u221216<\/p>\n<p>5. The graph is a parabola and the graph fails the horizontal line test.<\/p>\n<p>7. [latex]2{a}^{2}-a[\/latex]<\/p>\n<p>9. [latex]-2\\left(a+b\\right)+1[\/latex]<\/p>\n<p>11. [latex]\\sqrt{2}[\/latex]<\/p>\n<p>13.<br \/>\n<img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005127\/CNX_Precalc_Figure_01_07_242.jpg\" alt=\"Graph of f(x).\" data-media-type=\"image\/jpg\" \/><\/p>\n<p>15. even<\/p>\n<p>17. odd<\/p>\n<p>19. <em>x\u00a0<\/em>= \u20137 and <em>x\u00a0<\/em>= 10<\/p>\n<p>21. [latex]{f}^{-1}\\left(x\\right)=\\frac{x+5}{3}[\/latex]<\/p>\n<p>23.\u00a0[latex]\\left(-\\infty ,-1.1\\right)\\text{ and }\\left(1.1,\\infty \\right)[\/latex]<\/p>\n<p>25.\u00a0[latex]\\left(1.1,-0.9\\right)[\/latex]<\/p>\n<p>27.\u00a0[latex]f\\left(2\\right)=2[\/latex]<\/p>\n<p>29.\u00a0[latex]f\\left(x\\right)=\\begin{cases}|x|\\text{ if }x\\le 2\\\\ 3\\text{ if }x>2\\end{cases}[\/latex]<\/p>\n<p>31.\u00a0[latex]x=2[\/latex]<\/p>\n<p>33.\u00a0yes<\/p>\n<p>35.\u00a0[latex]{f}^{-1}\\left(x\\right)=-\\frac{x - 11}{2}[\/latex]<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-12187\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Precalculus. <strong>Authored by<\/strong>: Jay Abramson, et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download For Free at : http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":969,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Precalculus\",\"author\":\"Jay Abramson, et al.\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download For Free at : http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-12187","chapter","type-chapter","status-publish","hentry"],"part":12185,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/12187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/users\/969"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/12187\/revisions"}],"predecessor-version":[{"id":15798,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/12187\/revisions\/15798"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/parts\/12185"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/12187\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/media?parent=12187"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapter-type?post=12187"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/contributor?post=12187"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/license?post=12187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}