y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - dearborn public...

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y = $4x – 7 2x $ 3y = 6 y = 3x 2 – 4x + 7 y = sin (x – 3) + 5 Function Notation

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Page 1: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!y!=!$4x!–!7! ! ! ! 2x!$!3y!=!6! ! !!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!y!=!3x2!–!4x!+!7!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!y!=!sin!(x!–!3)!+!5!!! !

Function(Notation(!

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Page 2: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 3: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 4: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 5: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Inverse(Function(!

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! = 23 ! − 5!

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! = 10! + 4! ! = 3! + 1!

Page 6: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Interval(Notation(!

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All!Real!Numbers! ! ≥ 5!

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Page 7: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Domain(!

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In!words:!

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Interval!Notation:!

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Interval!Notation:!

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Interval!Notation:!

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As!an!inequality:!

Interval!Notation:!

Page 8: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Range(!

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Page 9: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Positive(Interval(!

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Page 10: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Negative(Interval(!

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Page 11: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 12: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 13: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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Page 14: y!=!$4x!–!7! !! ! 2x!$!3y!=!6! ! - Dearborn Public Schoolsiblog.dearbornschools.org/gilliesmath/wp-content/uploads/...!!!!!y!=!$4x!–!7! !! ! 2x!$!3y!=!6! !!!!!y!=!3x 2!–!4x!+!7!!!!!y!=!sin!(x!–!3)!+!5!!!

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End(Behavior(!

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As x → + , f (x) → _______________ As x → - , f (x) → _______________ ! As x → + , f (x) → _______________

As x → - , f (x) → _______________ !

As x → + , f (x) → _______________ As x → - , f (x) → _______________ !

As x → + , f (x) → _______________ As x → - , f (x) → _______________ !