ch3: rationals Flashcards

1
Q

horizontal asymptote

A
  • ratio of leading coefficients (# attached to highest variable)
  • if not, use 0
  • y =
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2
Q

vertical asymptote

A
  • set denominator to 0 and solve for x
  • denom = bottom
  • x =
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3
Q

exception for vertical asymptote

A
  • if top and bottom both have same factor, it cancels out nd becomes hole
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4
Q

x-intercept

A
  • set numerator (top) to zero and find x
  • (x, 0)
  • write “none” if top has no x
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5
Q

y-intercept

A
  • ratio of constant terms (alone number
  • (0, y)
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6
Q

pimple graph

A
  • denom: (x^2 + #)
  • no vertical asymptotes
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7
Q

both sides towards vert. asymptote

A
  • denom: (x -+ #)^2
  • one vertical asympote
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8
Q

“parabola” graph

A
  • denom: (x + #)(x + #)
  • two vertical asymptotes
  • max/min and y-int
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9
Q

wht is a restriction

A

value of x that doesnt exist

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10
Q

whts a restriction graphically

A

asymptotes or holes

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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”
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12
Q

domain

A
  • possible values of x
  • if greater, thn graph must be above x=0 on domain
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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
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14
Q

asymptote definition

A

line that a curve approaches but never reaches as it heads towards infinity

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15
Q

why do holes exist

A
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