Asymptotes
All Things X
Miscellaneous
Multiply/Divide
Add/Subtract
100
These are obtained by solving for the zeros of the denominator of a Rational Function.
What are Vertical Asymptotes?
100
REVOLUTION!
Teams 1 & 3 switch scores.
100
These are values of x of a function where a corresponding y value does not exist. (a discontinuity)
What are holes?
100
To multiply by the reciprocal of the divisor.
What is division of a rational function (a fraction)?
100
The LCM of 24 and 42.
What is 168?
200
The horizontal asymptote when the degree of the polynomial in the numerator is smaller than the degree of the denominator.
What is the x-axis? (or y=0)
200
The x intercept of
(x+5)/(x-3)
What is
(-5,0)?
200
Maps every non-zero real number to its reciprocal.
What is a reciprocal function?
200
The simplified form of: (4x^2y^2)/(3z)-:(15z^2)/(20xy^3)
What is (xz)/y, x,y, z!=0
200
The LCM of 15, 25, and 40.
What is 600?
300
The vertical asymptote of
y= 2/(3(x-3)^2)
What is x = 3?
300
The domain of g(x)=1/(x+2)-4
What is the set of all real numbers with x!= -2?
300
The equation of an inverse variation when x = 10 and y = 3.
What is
y= 30/x?
300
the values of the domain that are restricted if the denominator of my rational expression is x^3+3x^2-10x .
What are -5, 0, and 2?
300
The simplified form of 1/(3x)+1/(6x)-1/x^2
What is (x-2)/(2x^2) , x!=0 ?
400
The horizontal asymptote of
y=(2x^2+6x-2)/(3x^2+x-4)
What is
2/3?
400
The x intercepts of
2/(3x^2).
What has no x-intercept?
400
For the general equation of a rational function, y=a/(x-h)+k
k=-4.
What is a graph shifted down four units?
400
REVOLUTION!
Teams 2 and 4 switch scores.
400
The simplification of the sum (9y+2)/(3y^2-2y-8)+7/(3y^2+y-4)
What is (3y-4)/((y-2)(y-1))?
500
(P(x))/(Q(x))
A rational function where the degree of P(x) is greater than the degree of Q(x).
What does not have a horizontal asymptote?
500
The constant k of a function that varies inversely.
What is the product of x and y?
500
The hole of this graph:
What is x = 0?
500
Simplified form of the product, (x^2-16)/(9-x)*(x^2+x-90)/(x^2+14x+40)
What is -(x-4) for all x except 9, -10, and -4.
500
The difference between x/9 and (x-y)/6 .
What is (-x+3y)/18 ?
600
An equation of a rational function that has vertical asymptotes at x= -3 and x=1 and a horizontal asymptote at y=3.
What is
(3x^2)/(x^2+2x-3)?
600
The x-intercepts of f(x)=(4x^2-9)/(x^2+2x-15)
What are x+- 3/2?
600
The amount of time it takes for an ice cube to melt if the time varies inversely to the temperature of the air at 30 degrees Celsius when ice melts in 20 minutes at 20 degrees Celsius.
What is approximately 13.3 minutes?
600
The excluded values of (x^4+x^3-30x^2)/(x^2-3x-18)-:(x^3+x^2-30x)/(x^2-36)
What is x!=-6,-3,0,5,6 ?
600
The simplification of (1/a+1/b)/((a^2-b^2)/(ab)
What is 1/(a-b)?