Simplifying
Asymptotes
Key Features of Rationals
Intercepts
Misc.
100
Simplify:
(3x^3)/(12x^2+9x)
(x^2)/(4x+3)
100
What is the vertical asymptote of the following:
y=(4x-10)/(x-3)
x=3
100
What is the y-intercept of the following function:
y=(x^2-4)/(x+2)
y = -2
100
Find the x-intercepts
y=(-4x - 4) / (x^2 + 3x + 2)
none
100
What are baby Koalas called?
Joeys
200
Simplify:
(4xy^3)/(x^2y) * (y)/(8x)
y^3/(2x^2)
200
What is the horizontal asymptote of the following?
y=8/(x-3)
y=0
200
What is/are the x-intercept/s of the following function?
y=(x^2 -4)/(x+2)
x=2
200
Find the x-intercepts
y=(x^2 - 16) / (2x + 4)
-4, 4
200
What is the deadliest jellyfish in the world?
Box Jellyfish
300
Simplify:
(32x^3y)/(y^9)-:(8x^4)/(y^6)
4/(xy^2)
300
What is/are the vertical asymptote/totes of the following rational function?
y=(x+5)/(x^2 -25)
The only vertical asymptote is at x=5.
300
What is the domain of the following function?
y=(x+4)/(x^2 - 16)
All real numbers except 4 and -4
300
Find the x-intercepts
y=(x^3 - 2x^2 - 8x) / (2x^2 - 4x - 6)
0, 4, -2
300
In what country did the first Starbucks open outside of North America?
Japan
400
Simplify:
(2x^2 - 10)/(x+1)*(x+2)/(3x^2-15)
(2(x+2))/(3(x+1)
400
What is the horizontal asymptote of the following rational function?
y=(x^3 -1)/(x+4)
There is NO horizontal asymptote
400
Find the coordinate of the hole(s):
(-2,-2)
400
y= (x^3 - 16x) / (4x^2 - 12x - 16)
Find all intercepts
x: 0, -4
y: 0
400
Originally, Amazon only sold what kind of product?
Books
500
Simplify:
(x^2 - 14x + 48)/(x^2 - 6x)-:(3x-24)
1/(3x)
500
Find all asymptotes.
(x^3 - 2x^2 - 8x) / (4x^2 - 4x - 8)
Vertical Asym.: x = 2, x = -1
Horz. Asym.: None
500
How many vertical asymptotes does the following function have?
y=(x^2 +2x - 8)/(2x^3-4x)
It has three vertical asymptotes.
500
Find all intercepts
y=(x^2 - 6x + 8) / (-x^2 - 2x + 3)
x: 4, 2
y: 8/3
500
What is the tiny piece at the end of a shoelace called?
An aglet