MHF4U – Advanced Functions

Upcoming Evaluations:

 Evaluation Topics Date Quiz Ration Expressions, Rational Equations, reciprocal of linear, reciprocal of quadratics March 26 Unit Test #2 All of Unit 2 April 3

Unit 2:  Rational Functions

 Date Topic/Learning goals Daily Work/Assignments Wed Mar 11 Review of Rational Expressions We will review how to simplify rational expressions that require multiplication, division, addition, and subtraction.  To recall how to state restrictions of rational expressions. Handouts:  ·        Simplifying, Multiplying and Dividing R.E.  (Click here for copy with answers) ·        Untitled Handout… J (Click here for a copy with answers)   Extra Practice: Adding and Subtracting R.E. (Click here for a copy) Thur March 12 Solving Rational Equations To use our knowledge of rational expressions and polynomial equations to solve rational equations. Handout:  Solving Rational Equations – Word Problems Click here for a copy!   p. 183 #1, 2, 6, 9, 18   Click here for extra practice Fri Mar 13 Reciprocals of Linear Functions We will learn how to graph functions that are reciprocals of linear functions.  To familiarize ourselves with notation used to describe the behavior of a function. p. 153 #2 – 5, 7 – 10, 13, 15 Have a wonderful March Break! Mon Mar 23 Reciprocals of Quadratic Functions – Day 1 We will investigate the behaviour of reciprocals of quadratic functions.   Click here for a copy of the lesson! p. 164 #2, 4, 5ace (omit table), 7, 8adgh p. 166 #3, 9 – 14, 16, 17 Reciprocals of Quadratic Functions – Day 2 To practice our skills and summarize the behaviour of functions that are reciprocals of quadratic functions.  Discuss the slope table.   Click here for a copy of the lesson! Tue Mar 24 Linear over Linear Functions We will discover the properties of linear over linear functions, including asymptotes.   Click here for a copy of the lesson! p. 174 #1 – 12, 14 Wed Mar 25 More Rational Functions To develop an algorithm for graphing rational functions. Determine the circumstances when a function has a point discontinuity instead of a vertical asymptote at a particular x-value.   Click here for a copy of the lesson! p. 174 #16 p. 190 #4 and graph y = [(x – 5)(x – 2)] / (x2 +2) Thu Mar 26 Oblique Asymptotes We will discover which functions will have an oblique asymptote and learn how to determine the behaviour of the function near the asymptote. Click here for a copy of the lesson Quiz p. 176 #17 – 19  (answer for 18 should be C) p. 190 #8 – 10 Fri Mar 27 Review of Graphing We will develop our skills with graphing rational functions. Quiz Handout:  Review of Graphing Rational Functions Mon Mar 30 Solving Rational Inequalities To extend our skills with solving inequalities to discover the method for solving rational inequalities. Handout: p. 185 #4, 5, 7, 8, 10, 12, 13, 16 Tue Mar 31 Applications of Rational Functions/Rates of Change We will apply our knowledge of solving rational equations, solving rational inequalities, and graphing rational functions, to solve real-world problems. p. 189 #1,2, 3, 4,ace, 5, 7, 9, 10,16*17 *     Click here for extra rate of change problems! Wed Apr 1 Review – Day 1 Handout: Rational Functions (Review) p. 192 #1 – 16   Click here for more Rational Equations Word Problems!! Thu Apr 2 Review – Day 2 p. 192 #1 – 16   Click here for more Rational Equations Word Problems!! Fri Apr 3 UNIT TEST #2 UNIT TEST #2