Functions Flashcards

1
Q

What are Polynominals?

A

aNx^N +an-1x^n-1

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2
Q

What is the domain of a polynomial?

A

All real numbers

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3
Q

What is a rational? and what is the domain?

A

f(x) = p(x)/ q(x)
All real numbers where Q(x) does not equal 0

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4
Q

What are the transcendental functions?

A

Exponentials, Logs, and Trig

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5
Q

How can make new functions?

A

Through adding
f(x) +/- g(x) = (f+g)(x), f(x)/g(x)= (f/g)(x) or f(x)(gx)= (f(g))(x)

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6
Q

What is sin theta at 0, n/6, n/4, n/3, n/2

A

0,1/2, root 2/2, root 3/2, 1

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7
Q

What is cos theta at 0, n/6, n/4, n/3, n/2

A

1, root 3/ 2, root 2/2, 1/2, 0

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8
Q

What is tan theta at 0, n/6, n/4, n/3, n/2

A

0, 1/ root 3, 1, root 3, DNE

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9
Q

What does sin^2+cos^2=

A

1

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10
Q

what does tan^2+1=

A

sec^2x

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11
Q

What does sin(2x)=

A

2sinxcox

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12
Q

What does {1-cos2x}/2 =

A

sin^2x

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13
Q

What does sin(x+y) =

A

sinxcosy+cosxsiny

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14
Q

What does cos (2x) =

A

cos^2x-sin^2x

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14
Q

What does cos(x+y)=

A

cosxcosy-sinxsiny

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15
Q

What does cos^2x=

A

(1+cos2x)/2