6.7 Graphing Rational Functions.notebook
Bellwork
Identify the following for the rational function:
Vertical Asymptote:
Horizontal Asymptote:
Domain:
Range:
November 17, 2015
6.7 Graphing Rational
Functions
Objectives:
TSW: 1. Graph rational expressions.
2. Identify domain and range.
3. Identify all intercepts.
Jul 8­8:25 PM
Jul 8­8:25 PM
x ­ intercepts:
y ­ intercepts:
• Set numerator equal to zero and solve.
• Write x ­ intercepts as ordered pairs ( x, 0 )
• When x = 0
• Write as an ordered pair ( 0 , y)
**Must not conflict with the domain **
Jul 8­8:25 PM
Graph the rational function:
Vertical Asymptote:
Horizontal Asymptote:
Domain:
Range:
x ­ int(s):
y ­ int(s):
Jul 8­8:25 PM
constant of numerator
constant of denominator
Jul 8­8:25 PM
Graph the rational function:
Vertical Asymptote:
Horizontal Asymptote:
Domain:
Range:
x ­ int(s):
y ­ int(s):
Jul 8­8:25 PM
1
6.7 Graphing Rational Functions.notebook
Create a rational function that fulfills the following:
November 17, 2015
Assignment
x ­ intercepts: ( ­7, 0) and (­4, 0 )
y ­ intercept: ( 0, 7)
6.7 Worksheet
Vertical Asymptotes: x = 4, x = 1
Horizontal Asymptotes: y = 1
Jul 8­8:25 PM
Jul 8­8:25 PM
2