Definitions
Graphical Analysis
Building Rational Functions
100
Define a horizontal intercept.
Where the function crosses the x-axis or where f(x)=0 for the function.
100
Given the function 
( 0 , 0.4 )
200
Define a vertical intercept.
Where the function crosses the y-axis or the point at f(0).
200
Given the function
x = -5 and x = 1
300
Define end behavior
The value or values a function approaches as x approaches infinity.
300
Given the function:
( 2 , 0 )
300
What is rational function that hase
horizontal asymptote at
vertical asymptote at
Vertical intercept at. (0 , -4/5)
Horizontal intercept at (4,0 )
400
Define Vertical Asymptote
A vertical asymptote at x = a exists if the limit as x approaches a from the left and right is infinity or negative infinity.
400
Given the function
y = 0
400
What is a function that has:
x-intercept at (3, 0)
y-intercept at (0, 2)
Vertical Asymptote at x = 3 and x = -3
Horizontal Asymptote at y = 0
500
Define Horizontal Asymptote
A horizontal asymptote exists at y=b if the limit as x approaches infinity is b or the limit as x approaches negative infinity is b.
500
What is the domain of the funciton
(-infinity, -5) U (-5, 1) U (1, infinity)
500
Write the rational function
f(x) = 3x/(x-2)