The graph of the parent function, f(x)=1/x is an example of this.
What is a hyperbola?
100
This is what you are finding when you substitute large values of x into a rational function.
What is the Horizontal Asymptote
100
The first step in simplifying rational expressions.
What is simplifying the numerator and the denominator?
100
3/5 + 2/3
What is -1/15?
200
(12, 132); (18, 198); (23, 253); (29, 319); (34, 374) is an example of this.
What is direct variation?
200
Has the form f(x)=p(x)/q(x) where p(x) and q(x) are polynomials and q(x) does not equal zero.
What is a rational function?
200
The real zeros of the numerator.
What are the x-intercepts?
200
The process for dividing rational expressions.
What is keep the first fraction the same, change the sign to multiplication, and flip the second fraction?
200
2x/(x+2) + 4/(x+2)
What is 2?
300
In equation form, y=axz^2
What is y varies jointly with x and the square of z?
300
1. Draw the asymptotes x=h and y=k.
2. Plot points to the left and to the right of the vertical asymptote.
3. Draw the two branches of the hyperbola so that they pass through the plotted points and approach the asymptotes.
**Must give the form of the equation
What is graphing translations of the form y=(a/(x-h)) +k?
300
State the x-intercepts, vertical asymptote, and horizontal asymptote.
Given: y= 1/(x-2) +5
What is (1.8, 0), VA: x=2, HA: y=5.
300
Multiply. State any restrictions on the variables.
x²+3x-10/(x²+4x-12) * 3x+18/(x+3)
What is 3(x+5)/(x+3);x cannot = -3, 2, -6.
300
The LCM of x^2 - 2x and x^2 - 4
What is x(x + 2)(x - 2)?
400
The constant of variation if z varies jointly with x and y, and z=-36 when x=-3 and y=-4.
What is -3?
400
Can be found at each real zero of q(x) for a function of the form f(x)=p(x)/q(x).
What is the vertical asymptote?
400
A point where the function is undefined.
What is a point discontinuity/hole?
400
Divide. State any restrictions on the variables.
x²-5x+6/(x³) ÷ x²+3x-10/(4x²)
What is 4(x-3)/(x(x+5)); x cannot = 2, -5 or 0.
400
(7x-5)/(x^2 - 1) + (3x+6)/(x^2 + 3x + 2)
What is 2(5x-4)/(x^2-1)?
500
z varies jointly with x and the square of y. When z = 90, x=5, and y = 3. This is the value of z when x=6 and y=2
What is 48?
500
The value of k and the inverse variation equation that passes through (3, -4)
What is k = -12 and y = -12/x?
500
What are you finding when the coefficient of the largest power of the numerator is divided by the coefficient of the largest power in the denominator.
What is finding the horizontal asymptote when the powers of the numerator and denominator are equal?
500
Divide. State any restrictions on the variables.
x²-x-2/(2x²-5x+2) ÷ x²-x-12/(2x²+5x-3)