CH 5.4 Multiply and Divide Rational Functions.notebook
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions Removable Disconnuity :
5.4 Multiply and Divide Rational Expressions • Simplifying rational expressions
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Somemes we can remove asymptotes from our graph. Each asymptotes creates a disconnuity, or a place where there is a break in the graph. If we can remove the disconnuity, we will get a second funcon that is the same as the original, except for one point.
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Jan 234:03 PM
1
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=0
Horizontal Asymptotes: y=0
xIntercepts: x=0 and x=5
xIntercepts: x=5
Vertical Asymptotes: x=0
Vertical Asymptotes: x=0
Jan 234:03 PM
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=0
Horizontal Asymptotes: y=0
xIntercepts: x=0 and x=3
xIntercepts: x=3
Vertical Asymptotes: x=0
Vertical Asymptotes: none
Jan 234:03 PM
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
2
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=1
Horizontal Asymptotes: y=1
xIntercepts: x=5 and x=4
xIntercepts: x=4
Vertical Asymptotes: x=5
Vertical Asymptotes: x=5
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Jan 234:03 PM
3
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=1
Horizontal Asymptotes: y=1
xIntercepts: x=1
xIntercepts: x=1
Vertical Asymptotes: x=1 and x=1
Vertical Asymptotes: x=1
Jan 234:03 PM
Multiply and Divide Rational Functions Multiply
Jan 234:03 PM
January 28, 2013
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions Divide
Jan 234:03 PM
Multiply and Divide Rational Functions 5.4 Multiply and Divide Rational Expressions • Simplifying rational expressions
Jan 234:03 PM
4
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions Removable Disconnuity :
5.4 Multiply and Divide Rational Expressions • Simplifying rational expressions
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Somemes we can remove asymptotes from our graph. Each asymptotes creates a disconnuity, or a place where there is a break in the graph. If we can remove the disconnuity, we will get a second funcon that is the same as the original, except for one point.
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Jan 234:03 PM
1
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=0
Horizontal Asymptotes: y=0
xIntercepts: x=0 and x=5
xIntercepts: x=5
Vertical Asymptotes: x=0
Vertical Asymptotes: x=0
Jan 234:03 PM
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=0
Horizontal Asymptotes: y=0
xIntercepts: x=0 and x=3
xIntercepts: x=3
Vertical Asymptotes: x=0
Vertical Asymptotes: none
Jan 234:03 PM
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
2
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
January 28, 2013
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=1
Horizontal Asymptotes: y=1
xIntercepts: x=5 and x=4
xIntercepts: x=4
Vertical Asymptotes: x=5
Vertical Asymptotes: x=5
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions
Simplify
Jan 234:03 PM
Jan 234:03 PM
3
CH 5.4 Multiply and Divide Rational Functions.notebook
Multiply and Divide Rational Functions
Horizontal Asymptotes: y=1
Horizontal Asymptotes: y=1
xIntercepts: x=1
xIntercepts: x=1
Vertical Asymptotes: x=1 and x=1
Vertical Asymptotes: x=1
Jan 234:03 PM
Multiply and Divide Rational Functions Multiply
Jan 234:03 PM
January 28, 2013
Multiply and Divide Rational Functions
Jan 234:03 PM
Multiply and Divide Rational Functions Divide
Jan 234:03 PM
Multiply and Divide Rational Functions 5.4 Multiply and Divide Rational Expressions • Simplifying rational expressions
Jan 234:03 PM
4
