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MHF4U VIP - Rational Functions
5.1 Reciprocal of Linear and Quadratic Functions
Reciprocal of a Linear Function Overview (video) (12:32)
Reciprocal of a Quadratic Function Case 1 (video) (15:20)
Reciprocal of a Quadratic Function Case 2 (video) (12:13)
Reciprocal of a Quadratic Function Case 3 (video) (11:40)
5.2 Special Cases with Rational Functions
Holes Overview (video) (8:05)
Holes Example 1 (video) (6:11)
Discontinuity - Holes vs. Vertical Asymptotes (video) (4:24)
Horizontal Asymptotes (video) (13:22)
Oblique Asymptotes Overview (video) (10:23)
Oblique Asymptote Example (video) (10:51)
Graphing with Horizontal Asymptote Crossing Example 1 (video) (9:41)
Graphing with Horizontal Asymptote Crossing Example 2 (video) (6:33)
Graphing with Horizontal Asymptote Crossing Example 3 (video) (12:36)
Graphing with Slant Asymptote Crossing Example 1 (video) (13:08)
Thinking Problem - Find Constants so Function has Oblique Asymptote (9:28)
5.3 Linear over Linear Functions
Linear Function over Linear Function Overview (video) (12:38)
Linear Function over Linear Function Example 1 (video) (8:44)
Creating Function given Conditions Part 1 (video) (13:22)
Creating Function given Conditions Part 2 (video) (9:34)
Find Constants in Rational Function Example (video) (1:52)
Linear over Linear Function with Hole (video) (3:16)
Mid Chapter Quiz
Quiz 1 Questions (pdf)
Quiz 1 Solutions (pdf)
Quiz 2 Questions (pdf)
Quiz 2 Solutions (pdf)
5.4 Rational Equations
Rational Equations Overview (video) (6:18)
Rational Equations Example 1 (video) (4:16)
Rational Equation Example 2 (video) (6:40)
Rational Equation Example 3 (video) (7:34)
Rate Word Problem 1 (video) (14:44)
Rate Word Problem 2 (video) (9:02)
Find Constants Example 1 (video) (5:29)
Find Constants Example 2 (video) (11:51)
Rational Equation Word Problem Example 1 (video) (5:22)
Find Constant to Make Rational Equation Hold (video) (6:13)
5.5 Rational Inequalities
Rational Inequality Example 1 (video) (15:23)
Rational Inequality Example 2 (video) (11:49)
Rational Inequality Example 3 (video) (8:31)
Rational Inequality Example 4 (video) (11:45)
Rational Functions Graphing Assignment
Questions (written)
Graph 1 (written)
Graph 2 (written)
Graph 3 (written)
Graph 4 (written)
Graph 5 (written)
Graph 6 (written)
Test 1
Test 1 Questions (pdf)
Test 1 Solutions (pdf)
Knowledge Question 1 (video) (15:07)
Knowledge Question 2 (video) (3:35)
Knowledge Question 3 (video) (6:53)
Application Question 1 (video) (6:53)
Application Question 2 (video) (15:44)
Communication Question 1 (video) (7:19)
Communication Question 2 (video) (7:12)
Communication Question 3 (video) (4:10)
Thinking Question 1 (video) (7:53)
Thinking Question 2 (video) (8:39)
Thinking Question 3 (video) (5:10)
Thinking Question 4 (video) (7:01)
Test 2
Test 2 Questions (pdf)
Test 2 Solutions (pdf)
Knowledge Question 1 (video) (5:15)
Knowledge Question 2 (video) (2:09)
Knowledge Question 3 (video) (4:24)
Knowledge Question 4 (video) (7:03)
Application Question 1 (video) (10:59)
Application Question 2 (video) (6:39)
Communication Question 2 (video) (4:21)
Communication Question 4 (video) (4:25)
Thinking Question 1 (video) (5:01)
Thinking Question 2 (video) (6:21)
Graphing with Horizontal Asymptote Crossing Example 3 (video)
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