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PRECAL FINAL EXAM
FINAL EXAM
15
Mathematics
Undergraduate 2
04/05/2011

Additional Mathematics Flashcards

 


 

Cards

Term

NEED 85 TO GET B

 

WORK ALL EVEN NUMBERS AND ODDS

  • DO ODDS FIRST
  • DO WEBASSIGN
  • DO EVEN NUMBERS

MASTER EVERYTHING 2 DAYS BEFORE THE EXAM

 

*DO NOT STUDY WITH GROUP UNTIL MASTERED

 

*DO NIGHTLY STUDY GROUP REVIEW CONCEPTS

 

*BRING QUESTIONS PREPARED

Definition
Term
DEFINE A FUNCTION
Definition

PASSING VERTICAL LINE TEST/ H-LINE TEST

 

A CIRCUMSTANCE IN WHICH y DOES NO REPEAT ITSELF

Term
PROPERTIES OF INVERSE FUNCTIONS
Definition
Term
DOMAIN F-1 (F(x)) =
Definition
x, for all x in the restricted domain of f
Term
f(f-1(x)) =
Definition

x, for al x in the domain of f-1  (range of f)

 

 

Term
f-1(f-(x)) =  f(f-1(x))
Definition
Term

restricted domains  ( x) of sinx

 

range of sinx

Definition

 

 

[-pi/2, pi/2]

 

because if you go further anymore to the Right it will case a repeat in y-values

 

[-1,1]

Term
sin-1 x y and x vales
Definition

 

[-pi/2< y< pi/2]

 

because if you go further anymore to the Right it will case a repeat in y-values

 

[-1<x< 1]

Term
arcsinx
Definition
sin-1 x
Term

sin(sin-1 pi/2) = pi/2

 

defined, why?

Definition

No, Because pi/2 is greater then x=[-1,1]

 

inverse sin remember

Term
sin-1(sin3pi/2) = what?
Definition
sin -pi/2, because remember sin can only have a range of [-pi/2, pi/2]. and since 3pi/2 is beyond this point we can find the range b/w restricted area by subtracting by 2pi to get back to the orgin
Term
what is the restricted domain of cosx, what is cosx's range
Definition

restricted domain [0,pi]

 

range [-1,1]

Term

if you have cos-1 ( sin theta) how do you solve?

 

 

Definition

find out what sin theta =in exact values

 

plug into cos-1( exact values)

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