rational Flashcards
If we are adding fractions what must we have?
common denominator
If we see (x-1) and (1-x) how can we make them equivalent?
pull out a -1 from one
When you multiply fractions- how do you multiply?
straight across the top and straigh across the bottom
When you divide fractions you….
multiply by the reciprocal
reciprocal
when you flip a fraction
terms are seperated by
addition or subtraction signs
When we see f-1 what does it mean?
we are finding the inverse we switch x and y
When we are finding the inverse of something what do we do?
switch x and y solve for y
If we are finding an inverse graph, what do we do?
switch x and y for all points
When simplifying rational expressions, what is the first step
factor
How do we know something is a rational expresion?
fractions with x as a denominator
How do we find holes in rational expressions?
set the denominator=0 and whichever crosses out is the hole
How do we find vertical asymptotes in rational expressions?
set the denominator=0 and whichever does not cross out is the asymptote
How do we write vertical asymptotes
x=
Is vertical up and down or side to side?
up and down
Is horizontal up and down or side to side?
side to side
How do we find horizontal asymptotes
look at the degree of the numerator and denominator
If the numerator has a larger degree what is the horizontal asymptote?
there is none
If the denominator has a larger degree what is the horizontal asymptote?
y=0
What is an asymptote?
An invisible line your graph can never cross
If the numerator and denominator ahve the same degree, what do we do to find the horizontal asymptote?
divide the leading coefficients
How do we know which quadrants we graph a rational equation in?
We plot the y intercept
How do we find a y intercept in a rational expression?
x=0
How do we find the x int in a rational expression?
set y=0 in tghe simplified form
If there is an asymptote at y=0, what do you know aboutg the x intercepts?
there are none
