ch3: rationals Flashcards
1
Q
horizontal asymptote
A
- ratio of leading coefficients (# attached to highest variable)
- if not, use 0
- y =
2
Q
vertical asymptote
A
- set denominator to 0 and solve for x
- denom = bottom
- x =
3
Q
exception for vertical asymptote
A
- if top and bottom both have same factor, it cancels out nd becomes hole
4
Q
x-intercept
A
- set numerator (top) to zero and find x
- (x, 0)
- write “none” if top has no x
5
Q
y-intercept
A
- ratio of constant terms (alone number
- (0, y)
6
Q
pimple graph
A
- denom: (x^2 + #)
- no vertical asymptotes
7
Q
both sides towards vert. asymptote
A
- denom: (x -+ #)^2
- one vertical asympote
8
Q
“parabola” graph
A
- denom: (x + #)(x + #)
- two vertical asymptotes
- max/min and y-int
9
Q
wht is a restriction
A
value of x that doesnt exist
10
Q
whts a restriction graphically
A
asymptotes or holes
11
Q
where are restrictions found in a function nd wht do they help w
A
- asymptotes found in denom, so “restrictions help create factors in denom”
12
Q
domain
A
- possible values of x
- if greater, thn graph must be above x=0 on domain
13
Q
wht must be included in the explanation
A
- restriction definition
- how u made denom (factors n exponents)
- domain definition
- how u made numerator
14
Q
asymptote definition
A
line that a curve approaches but never reaches as it heads towards infinity
15
Q
why do holes exist
A