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AP Calculus AB > Chapter 1 > Flashcards

Chapter 1 Flashcards

1
Q

Undefined slope is for what line

A

Vertical

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2
Q

Zero slope is for what line

A

Horizontal

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3
Q

What is general linear equation

A

Ax+by=c

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4
Q

What does the vertical line test test?

A

If it is a function or not

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5
Q

Even function is…

A

Symmetrical over an axis

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6
Q

Odd function is…

A

Symmetrical over origin

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7
Q

How do you know algebraically if it is an even function

A

F(-x)=f(x)

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8
Q

How do you know if something is algebraically odd?

A

F(-x)=-f(x)

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9
Q

What are domain restrictions

A
  • vertical asymptotes
  • holes
  • even powers of radicals
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10
Q

What do you do to find domain when function has square root sign over it

A

Can have zero but not negative so put the equation next to > or = to 0. Might need to do line to figure out which numbers work.

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11
Q

How do you find domain of cubic root function?

A

The equation “is not equal to” 0

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12
Q

What does x^3 look like in graph

A

Symmetrical over origin

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13
Q

What does y=1/x look like

A

Symmetrical over origin. Never touching 0 on both x and y axis because of asymptotes. Asymptotes can change.

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14
Q

Does natural log look like ln

A

Yes.

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15
Q

Natural log looks like…

A

It is on the 1st and 4th quadrant and makes a curve bowed out from the bottom right corner

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16
Q

Sine equation starts at top or middle

A

Middle

17
Q

Does cosine graph start at top or middle

A

Top (or bottom)

18
Q

What is the equation for exponential growth?

A

Y= k* a^x

19
Q

What does exponential growth looks like and decay

A

This is the line rising slowly up and up…decay is the graph going down. Growth graph is bowed out from top left corner and decay graph is bowed out from top right corner.

20
Q

What is popular equation

A

P=p1 (1+r)^t

21
Q

What is population decline

A

P=p1(1-r)^t

22
Q

What is compound continuously

A

P=p1* e^rt

23
Q

What is equation for compound interest

A

P=p1 (1+(r/n)^nt
N=how many times per year
T= time

24
Q

What is half life

A

Y=y1((1/2)^t/h)

H=half life

25
Q

What does the horizontal line test test

A

If it is a one to one equation

26
Q

How do you find inverse

A

Just switch x and y

27
Q

How do you know if it is an exponential decay or growth

A

A> 1 is growth

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28
Q

What is slope intercept form

A

Y=mx+b

29
Q

How do you find amplitude when given a graph?

A

Subtract min from Max and divide all by 2 to find amplitude

30
Q

To find y or node what do you do when given a graph

A

Add Max and min and divide by 2

AP Calculus AB (6 decks)

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