P13, P14, P15
Transcript of P13, P14, P15
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Do Now
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Objectives
P13, P14, P15Honor s Cal cu lus
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Age nda
1. D iscuss Do Now (5 m in)2. Hom e work Q uesti on s (5 m in)3. OBJ P134. OBJ P145. OBJ P156. Cal cu la tor s?
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P13: Sk etch a p iece wise f unction.
A piece wise f unction is mad e of ex a ct ly wha t it s ay s : P ieces .
Ea ch of the pieces is a f unction,and the piece wise f unction te lls you where to g rap h it.
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P13: Sk etch a p iece wise f unction.
To l e arn p iece wise f unction s , the best ide a is to pra ctice . He r e ar e s om e ex ampl es .
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P13: Sk etch a p iece wise f unction.
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P13: Sk etch a p iece wise f unction.
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P13: Sk etch a p iece wise f unction.
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P13: Sk etch a p iece wise f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
To f ind the ze roes of a f unction,set the f unction equ al to z e ro!
The n s olve the equ a tion.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P14: D ete rm ine the ze roes (roo ts ) of a f unction.
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Rec all from Algeb ra tha t a ra te of ch an ge is just the de f inition of s lop e . How fa st is x ch an g ing
compar e d to how fa st y is ch an g ing?
To compar e ra tes of ch an ge ,compar e s lop es .
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Som etimes , g rap hs will be sh own w ithout nume r ical values .Yo u can sti ll compar e the s lop es
by look ing a t the stee pn ess of the line .A sh allow l ine ha s a s mall e r s lop e than a stee p line .A po sitive s lop e is alway s g r e a te r than a n e ga tive on e .Ze ro s lop es ar e flat.
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Exampl e 1:
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Exampl e 2:
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Exampl e 3:
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P15: Compar e and con tra st ra tes of ch an ge grap hic ally.
Exampl e 3:
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Questi on s?
HW: P roblem S et P13-P15.