functions Flashcards

(13 cards)

1
Q

range and domain?

A

range is y values , domain is x values

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2
Q

inverse function how to work out range and domain

A

range of original function becomes the domain, and the domain of inverse function becomes the range

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3
Q

f (| x |)

A

positive x values are reflected

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4
Q

| f(x) |

f(x) |

A

positive y values are reflected

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5
Q

y=2x + 3
what is the method to work out this inverse function

A

1) re arrange to make x the subject
2) switch y with x

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6
Q

modulus defintioin

A

pays attention to the distance away from 0, not the sign , eg | -3 | is just 3

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7
Q

how to solve |2x+3|=5

A

2x+3= 5
and
2x+3= -5

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8
Q

how to solve | x+3 |> 4

A

x+3>4
and
x+3<-4

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9
Q

how to solve 4-2|2x + 1|< 5

A

2x + 1 > - 1/2
2x + 1 < 1/2
WHEN U MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER INEQUALITY WILL FLIP

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10
Q

when solving modulus what do you change the sign of

A

NOT the modulus , change sign of what its equal to

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11
Q

what to do if ur soliving when 2 modulus are qual to eahother

A

square them to get rid of modulus, then solve

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12
Q

when is there not a function

A

one to many

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13
Q

when can there be an inverse function

A

one to one

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