Unit 1- Summer 2018 Flashcards

1
Q

relation

A

collection or set of ordered pairs

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2
Q

function

A

type of relation where every first coordinate has a distinct second coordinate

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3
Q

domain

A

x values

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4
Q

range

A

y values

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5
Q

functional values

A

are also output blues aka y values

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6
Q

linear, quadratic, cubic function domain

A

all XER

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7
Q

even

A

exponents are all even

- symmetric around the y axis aka if you put a mirror, it will flip

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8
Q

odd

A

exponents are odd

- symmetric around origin. take a point and flip it around

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9
Q

even how to do algebra

A

sub in -x for x and if f(-x)=f(x) then function is even

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10
Q

odd how to do algebra

A

sub in -x for x and if f(-x)= -f(x) then it is odd

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11
Q

continuous functions

A

can be drawn without lifting pencil

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12
Q

one-to-one

A

when no two elements in the x have the same image in the range then the inverse is also a function

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13
Q

even how to do algebra

A

sub in -x for x and if f(-x)=f(x) then function is even

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14
Q

odd how to do algebra

A

sub in -x for x and if f(-x)= -f(x) then it is odd

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15
Q

continuous functions

A

can be drawn without lifting pencil

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16
Q

one-to-one

A

when no two elements in the x have the same image in the range then the inverse is also a function

17
Q

y is a function of x

A

find if the inverse is a function

18
Q

when it says how does “___” affect the graph?

A

show using mapping notation

19
Q

mapping notation

A

(x +h/b, ay +k)

20
Q

piecewise function

A

a function defined by using two or more rules on two or more intervals; as a result, the graph is made up of two or more pieces of similar or different functions

21
Q

piecewise function domains

A

written as
[__function__, domain
[__function__, domain
etc.

22
Q

absolute value is

A

always a positive number

23
Q

composition

A

when two functions con be combined like this

ex. f(g(x)) AKA (f . g)(x)

24
Q

Absolute valu function

A

The absolute value of a number, defined as its distance on the number line to the origin