Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 FREE study tips and eBooks on various topics
Graphing a Rational Expression  Problem 2
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!
Dealing with the basic rational expression graph and some basic transformations. So for this example what I want to look at is 1 over x plus 3 and before I do that I want to take a look at our basic graph for 1 over x.
So we know the basic shape of 1 over x and we know that we have a horizontal asymptote at 0 and a vertical asymptote at 0 as well. So the reason we have a vertical asymptote at 0 is because we cannot plug 0 into this equation.
When we plug numbers in very close to 0 it's either they are going to go up to infinity or down to negative infinity. We plug in 1 over 100 1 over 100 turns into 100 so we get really close to our y axis we have a huge number.
So that’s why we have this vertical asymptote at 0. Going back over to this problem here what number can we not plug? We can’t plug in 3. So for this case what actually is happening to our problem is our graph is getting moved backwards three units.
We can’t plug in 3 so our vertical asymptote is now at 3. We’ve moved everything back you move a horizontal line backwards it stays in the same place, so what we really end up with is a graph that has the same shape as before everything moved back three, giving us a shape something like that. If this was a x minus we would’ve moved forward same idea what value of x can we not put in that’s where our vertical asymptote is going to be.
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.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Concept (1)
Sample Problems (12)
Need help with a problem?
Watch expert teachers solve similar problems.

Graphing a Rational Expression
Problem 1 4,671 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 4,132 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 3,982 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 1,213 views 
Graphing a Rational Expression
Problem 5 962 views 
Graphing a Rational Expression
Problem 6 953 views 
Graphing a Rational Expression
Problem 7 1,077 views 
Graphing a Rational Expression
Problem 8 986 views 
Graphing a Rational Expression
Problem 9 912 views 
Graphing a Rational Expression
Problem 10 917 views 
Graphing a Rational Expression
Problem 11 957 views 
Graphing a Rational Expression
Problem 12 929 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete