Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Unit 3­ Rational Functions!
Lesson 3.1: Reciprocal of a Linear Function
Learning Goal­ You will able to determine the vertical asymptotes, horizontal asymptotes and domain and range for reciprocals of linear functions graphically and algebraically. Success Criteria­
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
VA:
HA:
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Let's start with what you know about Reciprocal Functions!
Complete Investigation 3.1­ What is the nature of the graph of a reciprocal function?
Lesson 3.1­ Reciprocal of a Linear Function.notebook
Summary of Investigation 3.1
For the function f(x) = 1 Domain:
Range:
Asymptote:
kx ­ c
October 14, 2015
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Let's compare the graphs and their characteristics.
Characteristics
Domain
Range
x­intercept
y­intercept
asymptote(s)
y = x
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Now let's examine a reciprocal of a linear function
Examples
VA:
HA:
VA:
HA:
VA:
HA:
Lesson 3.1­ Reciprocal of a Linear Function.notebook
Characteristics
Domain
Range
x­intercept(s)
y­intercept
Asymptote(s)
October 14, 2015
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
What about the asymptotes for:
VA:
HA:
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
What about the asymptotes for:
VA:
HA:
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015
Be sure to review key concepts on page 152 of your text as well as examples from pages 149­152.
Homework: Page 153­155 #1­3, 6, 7aceg, 8, 9, 11, 12
Lesson 3.1­ Reciprocal of a Linear Function.notebook
October 14, 2015