MHF4U – Advanced Functions
Upcoming Evaluations:
Evaluation 
Topics 
Date 
Unit Test #2 
All of Unit 2 
Wed April 3 
Unit 2:
Rational Functions
Date 
Topic/Learning goals 
Daily Work/Assignments 
Wed Mar 7 
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) 
Thu Mar 8 
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 9 
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 behaviour of a function. 
p. 153 #2 – 5, 7 – 10, 13, 15 
Mon Mar 12 16 
HAPPY MARCH BREAK 
ENJOY YOUR BREAK!! J 
Mon Mar 19 
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 
Tue Mar 20 
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! 
p. 166 #3, 9 – 14, 16, 17 
Wed Mar 21 
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 
Thu Mar 22 
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 xvalue. Click here
for a copy of the lesson! 
p. 174 #16 p. 190 #4 and graph y = [(x – 5)(x – 2)] / (x^{2}
+2) 
Fri Mar 23 
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 
Mon Mar 26 
Review of Graphing We will develop our skills with graphing rational functions. 
Handout: Review of
Graphing Rational Functions 
Tue Mar 27 
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 
Wed Mar 28 
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
realworld problems. 
p. 189 #2, 3, 4,ace, 5, 7, 9, 10, 15 Click here
for extra rate of change problems! 
Thu Mar 29 
Review – Day 1 
Handout:
Rational Functions (Review) p. 192 #1 – 16 Click here for more
Rational Equations Word Problems!! 
Fri Mar 30 
HAPPY EASTER 

Tue Apr 3 
Review – Day 2 
p. 192 #1 – 16 Click here for more
Rational Equations Word Problems!! 
Wed Apr 4 
UNIT TEST #2 
UNIT TEST #2 