of 20
8/8/2019 C8, C9, C10
1/20
Do Now
8/8/2019 C8, C9, C10
2/20
Objectives C8, C9, C10 AP Cal cu lus AB
8/8/2019 C8, C9, C10
3/20
Ag end a
1. R evie w Do Now (5 m in)2. OBJ C83. OBJ C94. OBJ C10
8/8/2019 C8, C9, C10
4/20
C8: Compar e a nd cont ra st line ar a nd qua dra tic f uncti ons .
8/8/2019 C8, C9, C10
5/20
C8: Compar e a nd cont ra st line ar a nd qua dra tic f uncti ons .
8/8/2019 C8, C9, C10
6/20
C8: Compar e a nd cont ra st line ar a nd qua dra tic f uncti ons .
Wha t pro ble ms do yo u think ma the ma ticia ns ra n into wh en the ystudied s lop e with non- line ar f uncti ons?
8/8/2019 C8, C9, C10
7/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .
How do yo u comp ute ar c len gth?
Wh e r e do ra dia ns com e from ?
Why use ra dia ns inste a d of de gr ees?
8/8/2019 C8, C9, C10
8/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .Unit Cir cle Ba ckgro und :
8/8/2019 C8, C9, C10
9/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .
Unit Cir cle Ba ckgro und :
8/8/2019 C8, C9, C10
10/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .Unit Cir cle Char t:
8/8/2019 C8, C9, C10
11/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .
Unit Cir cle :
8/8/2019 C8, C9, C10
12/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .P uttin g It All Tog et he r:
8/8/2019 C8, C9, C10
13/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .
8/8/2019 C8, C9, C10
14/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .Ne ga tive Ra dia ns
8/8/2019 C8, C9, C10
15/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .
8/8/2019 C8, C9, C10
16/20
C9: Apply prop e r ties of tr igo nom et r ic f uncti ons .S ummary:
Me mor izing the unit cir cle is essenti al.
Use pa tte r ns to m e mor ize it.
8/8/2019 C8, C9, C10
17/20
C10: D ete rm ine the inve r se of a f uncti on.
Inve r ses :The inve r se of a f uncti on is agene ral s witching of the
doma in a nd ra nge .
Th is me a ns f indin g a n inve r se
of ten r e quir es s witching the xa nd y var ia bles .
8/8/2019 C8, C9, C10
18/20
C10: D ete rm ine the inve r se of a f uncti on.
8/8/2019 C8, C9, C10
19/20
C10: D ete rm ine the inve r se of a f uncti on.
8/8/2019 C8, C9, C10
20/20
Q uesti ons?
HW: Problem Set C8-C10.