5.2/5.3 Notes Flashcards

1
Q

a hyperbola consists of

A

2 symmetrical branches

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2
Q

parent domain and range

A

x&y do not =0

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3
Q

any function g(x)=a/x has the same____, ____, and _____ as ______

A

asymptote, domain, range if f(x)=1/x

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4
Q

branches must… (2)

A

pass through points and ride asymptote

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5
Q

graphing translations: vertical and horiZontal asymptotes

A

x=h, y=k

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6
Q

make table ___ to the ___&____ of each ______ _______

A

2 left and right of vertical asymptote

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7
Q

2nd graphing: vertical asymptote is

A

x=-d/c

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8
Q

2nd graphing: function is ______ when denominator of _____ =_____

A

undefined; cx+d=0

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9
Q

2nd graphing: horizontal asymptote:

A

y=a/c (take corfficients)

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10
Q

GRF the numerator provides what

A

x-intercepts

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11
Q

GRF the denominator gives

A

vertical asymptotes

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12
Q

GRF at most ___ _______ asymptote; determined by

A

1 horizontal; degrees of m&n of p(x) and q(x)

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13
Q

m less than n

A

y=0

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14
Q

m=n

A

y=a/b (leading coefficients)

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15
Q

m>n

A

none

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