Vocabulary
What is a Rational Function?
What is "Any function that can be written as a ratio of two polynomials"
What is the V.A. of (2x-3)/(x-4)?
What is "x=4"
What is the H.A. of 1/(x+3)?
What is "No Horizontal Asymptote"
What is the domain of the f(x)?
F(x)= 3/(x+6)
What is "Domain: All real numbers except -5"
TRUE or False: f(x) is a rational function.
F(x)=(x+17)
What is "False"
What is a Vertical Asymptote?
What is a "vertical line that a function gets closer and closer to, but never intersects"
What is the V.A. of 1/x(x-2)(2x+3)?
What is "x=0, x=2, and x=-3/2"
What is the H.A. of 2/(x-5)+ 12?
What is "y=12"
What is the Range of f(x)?
F(x)= -1/(x+2)
What is "Range: All real numbers except 0"
TRUE or FALSE: The Domain and the Vertical Asymptotes are the same.
What is "True"
What is a Horizontal Asymptote?
What is "The D-value of a rational function (if any)"
What is the V.A. of x/(2x2+9x+4)?
What is "x=-1/2 and x=-4"
What is the H.A of 2/(x2-2x-8)?
What is "No Horizontal Asymptote"
What is the Domain of f(x)?
F(x)= 1/(x+2)(x-3)
What is "All real numbers except x=-2 and 3"
TRUE or FALSE: If I can simplify (cancel out) part of the rational expression, there is a hole
What is "True"
What is Removal Discontinuity?
What is "a single point at which the graph is not defined"
What is the V.A. of (x-2)/(x-2)?
What is "No Vertical Asymptote"
What is the H.A. of 1/(x3-1)?
What is "No Horizontal Asymptote"
What is the Domain and Range of f(x)?
F(x)= x2+6x-7/(x-1)
What is "Domain: All real numbers except 1, and Range: All real numbers except 0"
TRUE or False: The Domain of f(x)=1/(x-3)(x-9) is all real numbers except 3.
What is "False"
What is domain and range?
What is "Domain is from left to right in a graph, and Range is up and down in a graph"
What is the V.A. of (x+2)/(x+2)(x-5)?
What is "x=5"
What is the H.A. of 1/(x-2)-4?
What is "y=-4"
What is the Domain and Range of f(x)?
F(x)= 1/(x-1/2)(x-4)
What is "Domain: All real numbers except 1/2 and 4, Range: All real numbers except 0"
TRUE or FALSE: The Vertical Asymptote of
f(x)=1/(x2+6x-7) is all real numbers except 1.
What is "False"