MHF4U – Advanced Functions

Link to RHHS Math webpage

Link to Ms. Mitchell’s webpage

Link to: Unit 1

 

Unit #2:  Rational Functions

Prerequisite Skills

 

page 499    #

1

Reciprocal Functions

Page 146    #

1, 2
3
9

Reciprocal Functions

Domain and Range

Solve Inequalities

 

 

TOPIC

Text

Day

Homework   Questions

Solving Rational Equations

3.4

1

Page 183 #1, 2, 6, 9, 15
Handout: Solving Rational Equations

Reciprocal of a Linear Function

3.1

2

Page 153  #2 – 5, 7 – 10, 13, 15

Reciprocal of a Quadratic Function
Day 1

3.2

3

Page 164  #2, 4, 5ace (omit table), 7, 8adgh

Reciprocal of a Quadratic Function
Day 2

3.2

4

Page 165 #3 (omit last row), 9, 11 -14, 16, 17

Rational Functions of the Form

3.3

5

Page 174  #1 – 12, 14  
Handout: Investigating Rational Functions

More Rational Functions

 

6

Page 176 #16
Page 190 #4
Graph y = [(x – 5)(x – 2)]/(x2 + 2)
Handout: More Rational Functions

Oblique Asymptotes

 

7

Page 176 #17 – 19 (answer for 18 should be C)
Page 190 #8 – 10
Handout: Investigation

Review of Graphing

 

8

Handout: Review of Graphing Rational Functions

QUIZ

Date:

THURSDAY, OCTOBER 18, 2018
(includes topics from Day 1 – 7)

Solving Rational Inequalities

3.4

9

Page 185 #4, 5, 13, 16
Handout: Solving Rational Inequalities

Applications of Rational Functions/
Rates of Change

3.5

10

Page 189 #1, 2, 14, 15
(Correction #15 – V.A. is  and there is a max point at
Handout: Applications of Rational Functions

Review Day 1

11

Page 192 #1 – 5, 7 – 12 (omit 12c), 13, 15, 16

IN-CLASS ASSIGNMENT

Date:

WEDNESDAY, OCTOBER 24, 2018

Review Day 2

13

Page 192 #1 – 5, 7 – 12 (omit 12c), 13, 15, 16

UNIT #2 TEST

Date:

FRIDAY, OCTOBER 26, 2018

 

 

 

 

 

 

 

Learning Targets:

 

 

¨ Identify the vertical and horizontal asymptotes, domain and range, intercepts, positive/negative intervals and increasing/decreasing intervals from the graphs of rational functions that are reciprocals of linear and quadratics functions

¨ Make connections between the algebraic and graphical representations of rational functions that are reciprocals of linear and quadratic functions

¨ Identify the vertical and horizontal asymptotes, domain and range, intercepts, positive/negative intervals and increasing/decreasing intervals from the graphs of rational functions that have linear expressions in the numerator and denominator (ie:  

¨ Sketch the graph of a simple rational function given the equation

¨ Make connections between the real roots of a rational equation and the x-intercepts of a rational function

¨ Solve simple rational equations in one variable algebraically

¨ Solve problems involving the application of simple rational functions and equations

¨ Understand the difference between the solution to an rational equation and a rational inequality