functions unit Flashcards

1
Q

vertical line

A

x=number

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2
Q

horizontal line

A

y= number

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3
Q

How do recognize an even function equation?

A

the biggest exponent is even

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4
Q

How do recognize an odd function equation?

A

the biggest exponent is odd

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5
Q

linear parent function

A

y=x

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6
Q

domain deals with x or y

A

x

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7
Q

range deals with x or y

A

y

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8
Q

discrete graphs

A

only points

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9
Q

continuous graph

A

any line

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10
Q

(image of stopped continuous)

A

continuous

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11
Q

(image of infinite continuous)

A

continuous

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12
Q

what is the definition of a function?

A

every x has exactly 1 y

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13
Q

(0,3) (-2,4) (5,8) (6,3) is this a function?

A

yes

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14
Q

(0,3) (-2,4) (5,8) (0,3) is this a function?

A

yes

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15
Q

(0,3) (-2,4) (5,8) (-2,7) is this a function?

A

no

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16
Q

(0,3) (-2,4) (5,8) (2,7) is this a function?

A

yes

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17
Q

Looking at a graph, how can we tell if something is a function?

A

it passes the vertical line test

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18
Q

f(x)=2x+1 f(2)=____

A

5

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19
Q

f(2) is 2 an x or a y value?

A

x

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20
Q

f(x)=2x+1 f(x)=19

A

x=9

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21
Q

What would you do to f(x) and g(x) if you see (f+g)(x)?

A

add them f(x)+g(x)

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22
Q

What would you do to f(x) and g(x) if you see (f-g)(x)?

A

subtract them f(x)-g(x)

23
Q

What would you do to f(x) and g(x) if you see (f-g)(3)?

A

plug 3 in for x and then subtract f(3)-g(3)

24
Q

What would you do to f(x) and g(x) if you see (f(g(3))?

A

Plug 3 in for x in g(x) and then plu that number into x inside f(x)

25
Q

What would you do to f(x) and g(x) if you see (f(g(x))?

A

Plug the g(x) equation in for x in the f(x) equation

26
Q

f(x)=19 is 19 an x or a y value?

A

y

27
Q

Translations of graphs do what?

A

move the graph left, right, up or down from the origin

28
Q

If we see (x-2) in the equation what direction are we moving the graph?

A

2 to the right

29
Q

y=(x-2)^2+3 what are the translations?

A

2 to the right and 3 up

30
Q

y=(x)^2-3 what are the translations?

A

3 down

31
Q

y+3=(x+2)^2 what are the translations?

A

2 to the left and 3 down

32
Q

how can you graph any equation?

A

make an x y chart

33
Q

How do you make an x y chart?

A

pick x values and then plug them into x in the equation to find y values

34
Q

What button do you hit on your calculator to write an equation?

A

y=

35
Q

What button do you hit on your calculator to write an x?

A

x,T,o,n

36
Q

How do you change your screen so you can see further up on the graph?

A

window change the yMax

37
Q

How do you change your screen so you can see further down on the graph?

A

window change the yMin

38
Q

How do you change your screen so you can see further left on the graph?

A

window change the xMin

39
Q

How do you change your screen so you can see further right on the graph?

A

window change the xMax

40
Q

What buttons do you press if you get an error when looking at the graph?

A

zoom zstandard

41
Q

To get to intersection on the calculator what buttons do you press?

A

2nd Trace

42
Q

After you have clicked on intersection on the calculator, what do you do to find the intersection point on the graph?

A

move cursor to intersection point and press enter 3 times

43
Q

How do you quit out of a screen when clear doesn’t work?

A

2nd mode

44
Q

How do you put an exponent into your calculator?

A
45
Q

To put a fraction into a calculator what must go around the top and bottom of the fraction bar?

A

( )

46
Q

How do you change a decimal into a fraction on the calculator?

A

math frac (enter, enter)

47
Q

When finding a y intercept what do you make x?

A

0

48
Q

If you have an equation set equal to 0 what are you finding?

A

x intercept

49
Q

When finding an x intercept what do you make y?

A

0

50
Q

You always write intercepts as ______

A

points

51
Q

x intercepts will be given as

A

( ,0)

52
Q

y intercepts will be given as

A

(0, )

53
Q

To find an x intercept on the calculator what do you do in the y= screen?

A

y1= equation y2=0

54
Q

If you are finding x intercepts from the calcualtor, and you set y2=0, what buttons do you press next?

A

2nd trace– intersection