| Vocabulary | Simplifiying | Finding Asymptotes | Solving | Holes |
|---|---|---|---|---|
|
Having gaps in a graph.
What is discontinuous?
|
x-2
What is x^2-5x+6/x-3 simplified?
|
y= 2
What is the horizontal asymptote for y= 2x/x-3?
|
x=1/4
1/x - 1 = 3/4x
|
(2, 4)
Where is the hole for y=x^2-4/x-2?
|
|
The graph is a smooth unbroken curve.
What is continuous?
|
x+4
What is x^2+2x-8/x-2 simplified?
|
x= 1
x= -1
What is the vertical aysmptote for y=2x/x^2-1?
|
x= -7
x= 4
7/x+3=x/4
|
(8, 11/8)
Where is the hole for y=x^2-5x-24/x^2-8x?
|
|
When the polynomial in the numerator is a higher degree then the polynomial in the denominator.
What is a slant asymptote?
|
x/2
What isx^2-3x/2x-6 simplified?
|
There is no horizontal asymptote.
What is the horizontal asymptote for y=x^2/2x-5?
|
x= 6
x= -4
x/x+3 = 8/x+6
|
(-2, 3/5)
Where is the hole for y= x^2+x-2/x^2-x-6?
|
|
Horizontal lines that the graph of a function approaches as x goes to positive and negative infinity.
What is a horizontal asymptote?
|
2x/3
What is 4x^2/6x simplified?
|
x=0
What is the vertical aysmptote for y=x^2+3x-4/x?
|
x=2
x=1
x/x-1 - 2/x = 1/ x-1
|
(-1, -1/4)
Where is the hole for y=1/x-3?
|
|
Vertical lines near which the function grows without bound.
What is a vertical asymptote?
|
x(x+1)
What is x^4+2x^3+x^2/x^2+x simplified?
|
y=9/5
What is the horizontal asymptote for y= 9x/5x-2?
|
x=-69
x-5/10 - x+2/5 = 6
|
(1.5, -2)
Where is the whole for y=2x-3/(x-2)(2x-3)?
|