Ch. 7 Second Quiz Flashcards
Everything you need to find for graphing rational functions
Domain
Removable Discontinuity
Vertical asymptote
X-intercept
Y-intercept
Degree and L.C
Horizontal/Slant Asymptote
How to find the domain of a rational function
The zeros before canceling anything of the denominator of the function
Write as x cannot equal #
How to find the removable discontinuity of a rational function
Anything that can be canceled from the function
Solved for zero
Find the point by plugging that number into x
How to find the vertical asymptote
Anything that is left over in the denominator solved for zero
The answer must be x=#
How to find the x-int of a rational function
Anything in the numerator left over and solved for zero
Answer must be (#, 0)
How to find the y intercept of a rational function
Plug in zero for x in the function
Answer must be (0, #)
Rules for a horizontal axis
Degree numerator is smaller than denominator -> y=0
Degree numerator is equal to denominator -> y= Numerator L.C./Denominator L.C.
Degree numerator is bigger than Degree denominator -> Oblique Asymptote
How to find the oblique asymptote of a rational function
Divide not simplified numerator by denominator
The remainder doesn’t matter
What do you do when there is an even multiplicity?
Both graphs approach the vertical asymptote the same way
What do you do when there is an odd multiplicity?
Graphs approach the vertical asymptote in different directions
How to graph oblique asymptote
Graph like a line
How to graph a rational function with just 1 number on top
Describe transformations
Find VA by solving the denominator for zero
Find HA by making y= whatever number is being added or subtracted to/from the function
***If there is nothing added, y=0
How to graph rational function with just 1 number on top
left graph, always to the left and below the asymptotes
right graph, always to the right and above the asymptotes
