MHF4U – Advanced Functions

Upcoming Evaluations:

 Evaluation Topics Date Quiz Ration Expressions, Rational Equations, reciprocal of linear, reciprocal of quadratics Oct 19 Unit Test #2 All of Unit 2 Fri Oct 26

Unit 2:  Rational Functions

 Date Topic/Learning goals Daily Work/Assignments Thu Oct 4 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) Fri Oct 5 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 Thu Oct 11 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 Fri Oct 12 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! Mon Oct 15 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 Tue Oct 16 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) Wed Oct 17 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 p. 176 #17 – 19  (answer for 18 should be C) p. 190 #8 – 10 Thu Oct 18 Review of Graphing We will develop our skills with graphing rational functions. Quiz Handout:  Review of Graphing Rational Functions Fri Oct 19 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 Oct  23 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 #2, 3, 4,ace, 5, 7, 9, 10, 15     Click here for extra rate of change problems! Wed Oct 24 Review – Day 1 Handout: Rational Functions (Review) p. 192 #1 – 16   Click here for more Rational Equations Word Problems!! Thu Oct 25 Review – Day 2 p. 192 #1 – 16   Click here for more Rational Equations Word Problems!! Fri Oct  26 UNIT TEST #2 UNIT TEST #2