The graph of the parent function, f(x)=1/x is an example of this.
What is a hyperbola?
100
There are no horizontal asymptotes.
What is the power of the numerator is greater than the power of the denominator?
100
The first step in simplifying these expressions.
What is simplifying the numerator and the denominator and canceling like terms before multiplying/dividing?
100
Two variables x and y related as follows y=a/x, where a is not equal to zero.
What is inverse variation?
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 or find the reciprocal of the second fraction?
200
The inverse variation fucntion f(x)=a/x is an example of this.
What is a rational function?
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
See page 571 question 10. State the x-intercepts, vertical asymptote, horizontal asymptote, and graph the function.
What is (2, 0), V: x=0, H: none.
300
See page 595 question 1.
What is (3(x-6))/(x(x+5))?
300
When a quantitiy varies directly with the product of two or more other quantities.
What is joint variation?
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. Provide an example of a function that has a point discontinuity and where it occurs.
What is a point discontinuity/hole?
400
See page 595 question 3.
What is ((x+4)(x+1))/((x-7)(x+3))?
400
When a rational expression's numerator and denomintaor have no common factors other than positive or negative one.
What is simplified form?
500
If the product of the x-values and the corresponding y-values are the same.
What is determining if a set of data points (x, y) show inverse variation?
500
There can only be one of these.
What is a horizontal asymptote?
500
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
In the equation, y=a/x, where a is not equal to zero, a is called this.