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 x4/(x2+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 -6"
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 6x2/(3x2 -5) ?
y=2
What is the Domain of f(x)?
F(x)= x/x2-4x
All real numbers except 0 and 4
TRUE or FALSE: To find the y-intercept of a function, you set the equation equal to 0.
ie x2+ 4x +6 =0
False
What is a Horizontal Asymptote?
Horizontal line across the graph
What is the V.A. of x/(2x2+9x+4)?
What is "x=-1/2 and x=-4"
What is the H.A of 2x/(x2-2x-8)?
y=0
What is the Domain of f(x)?
F(x)= x/(x+3)(x-3)
All real numbers except x=-3 and x= 3"
TRUE or FALSE: A graph can intersect at the vertical asymptote
"False"
What is Removal Discontinuity or hole?
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 x2/(x3-1)?
y=0
What is the Domain
F(x)= 6x2/3x2-5
All real numbers except x= -1.29 and x=1.29
TRUE or False: When finding Horizontal Asymptote, if the degree of the numerator is less than the degree of the denominator then the HA is equal to 0
True
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 2/(x-5)+ 12?
"y=12"
What is the Domain of f(x)?
F(x)= 1/(x-1/2)(x-4)
All real numbers except 1/2 and 4,
TRUE or FALSE: Vertical asymptote is written as y = (number) while the Horizontal Asymptote is written as x= (number)
"False"