{"id":3727,"date":"2022-02-06T19:42:28","date_gmt":"2022-02-06T19:42:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3727"},"modified":"2022-03-02T18:30:48","modified_gmt":"2022-03-02T18:30:48","slug":"nonlinear-tables","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/nonlinear-tables\/","title":{"rendered":"Nonlinear Tables"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Nonlinear Tables<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A nonlinear function is basically the opposite of a linear function. This gives that the graph of a nonlinear function is not a line, and we can determine whether a function, in tabular form, is nonlinear by observing that the jump in y varies for each unit of change in x.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<strong>How to determine a <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\">linear\/nonlinear function<\/a> through tables:<\/strong><br \/>\n1. Calculate the rate of change (slope) for each ordered pair.<br \/>\n2. If the rate of change is constant, the table represents a linear function.<br \/>\n3. If the rate of change is not constant, the table represents a nonlinear function.<\/p>\n<p><strong>How to determine a <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\">linear\/nonlinear function<\/a> through tables and graphs:<\/strong><br \/>\n1. Plot the ordered pairs.<br \/>\n2. The points have a linear relationship if a straight line passes through all points.<br \/>\n3. The points have a nonlinear relationship if no straight line passes through all points.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Determine if the table represents a linear or a nonlinear function.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\"><img loading=\"lazy\" class=\"alignnone wp-image-3729 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/31-7.png\" alt=\"\" width=\"307\" height=\"185\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/31-7.png 307w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/31-7-300x181.png 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><\/a><\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The change in the distance is not constant with each second increase in time, indicating the function is not linear.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Nonlinear Tables[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Graph the points. Then identify whether the graph is linear or nonlinear.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\"><img loading=\"lazy\" class=\"alignnone wp-image-3731 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/32-3.png\" alt=\" Nonlinear Tables - Practice Problem 1\" width=\"388\" height=\"562\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/32-3.png 388w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/32-3-207x300.png 207w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Determine if the table represents a linear or a nonlinear function.<\/span><\/strong><br \/>\nSelect the correct answer choice.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\"><img loading=\"lazy\" class=\"alignnone wp-image-3733 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/33-11.png\" alt=\" Nonlinear Tables - Practice Problem 2\" width=\"289\" height=\"215\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">A local traffic agent is charging a $5 toll at the entrance of the new bridge. Can the revenue made by the traffic agent be represented by a linear or a nonlinear function?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions\"><img loading=\"lazy\" class=\"alignnone wp-image-3735 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/34-2.png\" alt=\" Nonlinear Tables - Practice Problem 3\" width=\"218\" height=\"61\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/34-2.png 218w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/34-2-214x61.png 214w\" sizes=\"(max-width: 218px) 100vw, 218px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-and-nonlinear-functions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Linear:<\/strong> To fall in a straight line.<\/p>\n<p><strong>Function:<\/strong> A relation in which every member of the domain (input value) is paired with exactly one member of the range (output value).<\/p>\n<p><strong>Linear Function:<\/strong> A function in which the graph of the solutions forms a straight line.<\/p>\n<p><strong>Function Table:<\/strong> A table organizing the domain, rule, and range of a function.<\/p>\n<p><strong>Nonlinear functions<\/strong> are functions whose rates of change are not constant. \u200bA nonlinear function has a graph that is not a straight line. \u200b<\/p>\n<p><strong>Rate of Change<\/strong> – ratio of the “vertical change” to the “horizontal change” between (any) two distinct points on a line. It is also called the slope.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unit-rate\"><span style=\"color: #ed5600;\">Unit Rate<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/identifying-proportional-relationships-using-a-table\"><span style=\"color: #ed5600;\">Identifying Proportional Relationships Using a Table<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/constant-rate-of-change\"><span style=\"color: #ed5600;\">Constant Rate of Change<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/representing-relationships\"><span style=\"color: #ed5600;\">Representing Relationships<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/relations\"><span style=\"color: #ed5600;\">Relations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/functions\"><span style=\"color: #ed5600;\">Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/linear-functions\"><span style=\"color: #ed5600;\">Linear Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-properties-of-functions\"><span style=\"color: #ed5600;\">Compare Properties Of Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/construct-functions\"><span style=\"color: #ed5600;\">Construct Functions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635244647933{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-functions-6.1.8\"><span style=\"color: #333399;\">Algebra Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/slope\"><span style=\"color: #333399;\">Slope<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/direct-variation\"><span style=\"color: #333399;\">Direct Variation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/quadratic-functions\"><span style=\"color: #333399;\">Quadratic Functions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/qualitative-graphs\"><span style=\"color: #333399;\">Qualitative Graphs<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” 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!important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Nonlinear Tables [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A nonlinear function is basically the opposite of a linear function. This gives that the graph of a nonlinear function is not a line, and we […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Nonlinear Tables | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A nonlinear function is basically the opposite of a linear function. 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