Factoring
Domain and Range
Asymptotes
Intercepts
100
What are the binomial factors for: x2 - 6x - 27 ?
(x - 9)(x+3)
100
What is the domain of this function in inequality notation?
-4<=x<=3
100
What is the x-value of the vertical asymptote?
x=-2
100
What is an axis intercept?
A point at which the function crosses the x- and/or y- axis.
200
Write an equivalent expression for x2 - 6x + 9 ?
(x-3)(x-3) or (x-3)2
200
What is the range of this function in inequality notation?
-2<=y<=3
200
What is an asymptote?
A line the function approaches but doesn't reaches (horizontal asymptotes can be crossed)
200
What is the y-intercept [f(0)] of this function?
y-int: (0,2)
300
What are the factors of this area model?
(x - 5)(x+3)
300
What x-value is NOT a part of the domain? Why?
x=1 is not a part of the domain because there is a hole at x=1.
300
Name the asymptotes.
x=2,3
y=0
300
What are the x- and y- intercepts?
x-int: None
y-int: (0, -1)
400
Draw an area model for x2 + 7x + 12
400
Write the range of this function in inequality notation:
-oo<y<0.5
0.5<y<1
y>1
400
How do you calculate vertical asymptotes?
After finding the holes, you set what is left in the denominator equal to zero.
400
What is the x-intercept of this function?
x-int: (0.5, 0)
500
Find the factors of the quadratic:
4x2 + 14x +6
Show your work!
4x2+2x+12x+6
(4x2+2x)+(12x+6)
2x(2x+1) + 6(2x+1)
(2x+1)(2x+6)
500
Write the domain and range in interval notation:
Domain:
[-4,1)uu(1,3]
Range:
[-4,-2)uu(-2,3]
500
Calculate the hole(s) and vertical asymptote(s) of this function:
Hole at x=2, Vertical Asymptote at x=-1
500
What are the x- and y- intercepts of this function:
x-int: (-4,0)
y-int: (0,-4)