{"id":279,"date":"2025-02-13T22:45:57","date_gmt":"2025-02-13T22:45:57","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/solutions-functions-practice-test\/"},"modified":"2025-02-13T22:45:57","modified_gmt":"2025-02-13T22:45:57","slug":"solutions-functions-practice-test","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/precalculus\/chapter\/solutions-functions-practice-test\/","title":{"raw":"Solutions: Functions Practice Test","rendered":"Solutions: Functions Practice Test"},"content":{"raw":"\n1. The relation is a function.\n\n3. \u221216\n\n5. The graph is a parabola and the graph fails the horizontal line test.\n\n7. [latex]2{a}^{2}-a[\/latex]\n\n9. [latex]-2\\left(a+b\\right)+1[\/latex]\n\n11. [latex]\\sqrt{2}[\/latex]\n\n13.\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\">\n\n15. even\n\n17. odd\n\n19. <em>x&nbsp;<\/em>= \u20137 and <em>x&nbsp;<\/em>= 10\n\n21. [latex]{f}^{-1}\\left(x\\right)=\\frac{x+5}{3}[\/latex]\n\n23.&nbsp;[latex]\\left(-\\infty ,-1.1\\right)\\text{ and }\\left(1.1,\\infty \\right)[\/latex]\n\n25.&nbsp;[latex]\\left(1.1,-0.9\\right)[\/latex]\n\n27.&nbsp;[latex]f\\left(2\\right)=2[\/latex]\n\n29.&nbsp;[latex]f\\left(x\\right)=\\begin{cases}|x|\\text{ if }x\\le 2\\\\ 3\\text{ if }x&gt;2\\end{cases}[\/latex]\n\n31.&nbsp;[latex]x=2[\/latex]\n\n33.&nbsp;yes\n\n35.&nbsp;[latex]{f}^{-1}\\left(x\\right)=-\\frac{x - 11}{2}[\/latex]\n","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&nbsp;<\/em>= \u20137 and <em>x&nbsp;<\/em>= 10<\/p>\n<p>21. [latex]{f}^{-1}\\left(x\\right)=\\frac{x+5}{3}[\/latex]<\/p>\n<p>23.&nbsp;[latex]\\left(-\\infty ,-1.1\\right)\\text{ and }\\left(1.1,\\infty \\right)[\/latex]<\/p>\n<p>25.&nbsp;[latex]\\left(1.1,-0.9\\right)[\/latex]<\/p>\n<p>27.&nbsp;[latex]f\\left(2\\right)=2[\/latex]<\/p>\n<p>29.&nbsp;[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.&nbsp;[latex]x=2[\/latex]<\/p>\n<p>33.&nbsp;yes<\/p>\n<p>35.&nbsp;[latex]{f}^{-1}\\left(x\\right)=-\\frac{x - 11}{2}[\/latex]<\/p>\n","protected":false},"author":6,"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.\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":276,"module-header":"","content_attributions":[{"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."}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/279"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/279\/revisions"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/parts\/276"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapters\/279\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/media?parent=279"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/pressbooks\/v2\/chapter-type?post=279"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/contributor?post=279"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/precalculus\/wp-json\/wp\/v2\/license?post=279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}