{"id":158,"date":"2025-04-09T17:19:43","date_gmt":"2025-04-09T17:19:43","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/?post_type=part&p=158"},"modified":"2025-08-13T14:07:02","modified_gmt":"2025-08-13T14:07:02","slug":"chapter-5-polynomial-and-rational-functions","status":"publish","type":"part","link":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/part\/chapter-5-polynomial-and-rational-functions\/","title":{"raw":"Chapter 5: Polynomial and Rational Functions","rendered":"Chapter 5: Polynomial and Rational Functions"},"content":{"raw":"
\r\n\r\n[caption id=\"attachment_706\" align=\"aligncenter\" width=\"300\"]\"\" This diver, near the wreck of an ocean liner, must remain attentive to gas laws during their dive and as they ascend to the surface.[\/caption]\r\n

Chapter Outline<\/h2>\r\n5.1 Quadratic Functions<\/a>\r\n\r\n5.2 Power Functions and Polynomial Functions<\/a>\r\n\r\n5.3 Graphs of Polynomial Functions<\/a>\r\n\r\n5.4 Dividing Polynomials<\/a>\r\n\r\n5.5 Zeros of Polynomial Functions<\/a>\r\n\r\n5.6 Rational Functions<\/a>\r\n\r\n5.7 Inverses and Radical Functions<\/a>\r\n\r\n5.8 Modeling Using Variation<\/a>\r\n

You don't need to dive very deep to feel the effects of pressure. As a person in their neighborhood pool moves eight, ten, twelve feet down, they often feel pain in their ears as a result of water and air pressure differentials. Pressure plays a much greater role at ocean diving depths.<\/p>\r\n

Scuba and free divers are constantly negotiating the effects of pressure in order to experience enjoyable, safe, and productive dives. Gases in a person's respiratory system and diving apparatus interact according to certain physical properties, which upon discovery and evaluation are collectively known as the gas laws. Some are conceptually simple, such as the inverse relationship regarding pressure and volume, and others are more complex. While their formulas seem more straightforward than many you will encounter in this chapter, the gas laws are generally polynomial expressions.<\/p>\r\n\r\n<\/div>","rendered":"

\n
\"\"
This diver, near the wreck of an ocean liner, must remain attentive to gas laws during their dive and as they ascend to the surface.<\/figcaption><\/figure>\n

Chapter Outline<\/h2>\n

5.1 Quadratic Functions<\/a><\/p>\n

5.2 Power Functions and Polynomial Functions<\/a><\/p>\n

5.3 Graphs of Polynomial Functions<\/a><\/p>\n

5.4 Dividing Polynomials<\/a><\/p>\n

5.5 Zeros of Polynomial Functions<\/a><\/p>\n

5.6 Rational Functions<\/a><\/p>\n

5.7 Inverses and Radical Functions<\/a><\/p>\n

5.8 Modeling Using Variation<\/a><\/p>\n

You don’t need to dive very deep to feel the effects of pressure. As a person in their neighborhood pool moves eight, ten, twelve feet down, they often feel pain in their ears as a result of water and air pressure differentials. Pressure plays a much greater role at ocean diving depths.<\/p>\n

Scuba and free divers are constantly negotiating the effects of pressure in order to experience enjoyable, safe, and productive dives. Gases in a person’s respiratory system and diving apparatus interact according to certain physical properties, which upon discovery and evaluation are collectively known as the gas laws. Some are conceptually simple, such as the inverse relationship regarding pressure and volume, and others are more complex. While their formulas seem more straightforward than many you will encounter in this chapter, the gas laws are generally polynomial expressions.<\/p>\n<\/div>\n","protected":false},"parent":0,"menu_order":6,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-158","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/pressbooks\/v2\/parts\/158","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/pressbooks\/v2\/parts\/158\/revisions"}],"predecessor-version":[{"id":1322,"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/pressbooks\/v2\/parts\/158\/revisions\/1322"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/wp\/v2\/media?parent=158"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/wp\/v2\/contributor?post=158"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/ccacollegealgebra\/wp-json\/wp\/v2\/license?post=158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}