functions Flashcards

1
Q

x values

A

domain

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2
Q

y values

A

range

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3
Q

one-to-one function

A

if every element is mapped onto exactly one element in the range

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4
Q

many to one function

A

if every element in the domain is mapped onto exactly one element in the range, but some elements in the range arise from more than one element in the domain

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5
Q

range of f(X)=

A

domain of f-1(x)

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6
Q

domain of f(x)=

A

range of f-1(X)

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7
Q

constant

A

vertex x value

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8
Q

2/x +3/x=

A

5/x

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9
Q

when you have a fraction in a fraction

A

multiply the denominator with the numerator

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10
Q

y>2 wrong

A

f(X)>2 correct

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11
Q

tangent

A

1 intersection so b^2-4ac=0

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12
Q

only one to one

A

has inverse

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13
Q

one to many

A

not function

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14
Q

many to one

A

does not have an inverse

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15
Q

if they say xER

A

range is from vertex

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16
Q

stationary point

A

vertex

17
Q

when asking for line of symetry

A

draw the graph

18
Q

when the vertex is written they ask for a range

A

use vertex y value as a lower bound

19
Q

translation

A
20
Q

reflection

A
21
Q

stretch

A
22
Q

order of transformation

A

2 horizontal - opp bodmas
H+V - Dosent matter
2 Vertical- bodmas

23
Q

why ff cant be formed

A

because the range of f does not include the domain of f

24
Q
A
25
Q

When solving always check

A

Domain

26
Q

If a function has 1- something

A

M<f(x)<1

27
Q

x>0.5 x<0.5

A

X note equal to 0.5

28
Q

Reflection

A

F(-x) reflection in y axis
-f(x) reflection in x axis