Learn math, science, English SAT & ACT from
highquaility study
videos by expert teachers
Thank you for watching the preview.
To unlock all 5,300 videos, start your free trial.
Graphing a Rational Expression  Problem 3
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Graphing a basic rational expression with transformations. We are now going to look at a problem where we have a negative coefficient and if you think back to how this affects are polynomial graphs we can sort of take the same thing and extract it to this problem.
Let’s take a look at f(x) is equal to x cubed. If you remember this problem we end with a graph that looks something roughly like this. If we throw a negative in front of that, what that did was it took all the y values that were positive, made it negative and all the y values that were negative, and made them positive. Basically just flipped it over the y axis, so we have them something like this.
The basic premise holds shoe for 1 over x as well. Let’s go back over here, we know that the graph of one over x looks something like that, so what ends up happening when we have the negative out in front is the part that’s negative becomes positive and the part that’s positive then becomes negative.
Same exact flip just the different shape of the graph. So whenever you are dealing with any rational expression and you have a negative on the front just flip it over the asymptote it's everything else stays the same, same shape different quadrants.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
Concept (1)
Sample Problems (12)
Need help with a problem?
Watch expert teachers solve similar problems.

Graphing a Rational Expression
Problem 1 4,721 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 4,187 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 4,037 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 1,263 views 
Graphing a Rational Expression
Problem 5 1,003 views 
Graphing a Rational Expression
Problem 6 991 views 
Graphing a Rational Expression
Problem 7 1,113 views 
Graphing a Rational Expression
Problem 8 1,029 views 
Graphing a Rational Expression
Problem 9 952 views 
Graphing a Rational Expression
Problem 10 964 views 
Graphing a Rational Expression
Problem 11 998 views 
Graphing a Rational Expression
Problem 12 972 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete