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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.