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math > 4.5-4.8 test > Flashcards

4.5-4.8 test Flashcards

1
Q

Sin

A

mid, max, mid, min, mid

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2
Q

Cosine

A

max, mid, min, mid, max

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3
Q

Sin, cosine parent function spacing?

A

pi over 2

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4
Q

Amplitude is greater than 1?

A

vertical stretch

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5
Q

Amplitude is less than 1?

A

vertical shrink

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6
Q

amplitude is never?

A

negative

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7
Q

b is never?

A

negative

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8
Q

b is less than 1?

A

horizontal stretching

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9
Q

b is greater than 1?

A

horizontal shrinking

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10
Q

what to do when b is negative?

A

use trig identities

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11
Q

c/b

A

phase shift

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12
Q

bx-c=0, bx-c= 2 pi

A

left and right endpoints of graph, can also factor out b to find horizontal translation

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13
Q

sin/cosine domain?

A

negative infinity to positive infinity

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14
Q

sin/ cosine range?

A

-1 to 1 inclusive

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15
Q

tangent is naturally?

A

increasing

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16
Q

What is the period of tangent?

A

pi

17
Q

tangent domain?

A

all R, except pi/2 + npi

18
Q

vertical asymptotes of tangent?

A

pi/2+npi

19
Q

Range of tangent?

A

negative infinity to positive infinity

20
Q

tangent bx-c?

A

-pi/2, pi/2

21
Q

midpoint between two asymptotes?

A

x-intercept in tangent

22
Q

Cotangent period?

A

pi

23
Q

cotangent is naturally?

A

decreasing

24
Q

Domain?

A

all reals except x= npi

25
Q

Range?

A

all reals

26
Q

Vertical Asymptotes?

A

x=npi

27
Q

cotangent bx-c?

A

0, pi

28
Q

cosecant and secant period?

A

Period is 2 pi

29
Q

Cosecant domain?

A

all reals except x equals npi, vertical asymptotes npi

30
Q

Range of cosecant?

A

negative infinity to negative 1 union 1 to infinity

31
Q

Secant domain?

A

all reals except x equals pi/2 plus npi, pi/2 plus npi is the vertical asymptotes

32
Q

Range of secant?

A

same as cosecant

33
Q

inverse sin domain?

A

negative 1 to 1 inclusive

34
Q

inverse sin range?

A

negative pi/2, pi over 2 inclusive

35
Q

inverse cosine domain?

A

negative 1 to 1 inclusive

36
Q

inverse cosine range?

A

0 to pi inclusive

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