Studied by 48 people

5.0(1)

Get a hint

Hint

1

How do you point out a function?

When there is one output value for every x-value

New cards

2

How to determine the domain of a function?

set denominator of action equal to zero

New cards

3

2 RULES

anything divided by zero is undefined

negative in a square root

New cards

4

when writing parentheses

the lower number always goes first!

New cards

5

cosine

adjacent/hypotenuse

New cards

6

Sine

opposite/hypotenuse

New cards

7

Tangent

Oppisite/ adjacent

New cards

8

csc

hyp/op

New cards

9

Secant

hyp/adjacent

New cards

10

Cotangent

adjacent/oppisite

New cards

11

Isosceles Triangle

New cards

12

When finding angles on Unit Circle CSC, SEC, COT

cscâ1/Y

secâ 1/x

Cotâ x/y

(x,y)â are your coordinates!!

New cards

13

a^2+b^2=c^2

c^2 is always your hypotenuse

New cards

14

Remember !!

no square roots on denominator!

New cards

15

Compound Interest Formula!

A=P(1+r/n)^rn

P=Principe balence

r= interest rate

n= number of times interest applied per time period

t= number of time periods elapsed

New cards

16

What do you do for a Quadratic Function

-Add to middle

-Multiply to end

New cards

17

Slope Intercept form

y=mx+b

m=slope

x=variable

b=y-intercept

y=variable

New cards

18

Slope

rise/run

y2-y2/x2-x1

New cards

19

Quadrents

numbered counter-clock wise area contained by the x &y axis

New cards

20

x&y plane

plane they form at intersection

New cards

21

Cordinate axisâs

2 fixed coordinate lines that form the cordinate plane

New cards

22

origin

2 lines point of intersection

New cards

23

Quadrents

Counter clock wise

2 1

34

New cards

24

Distance Formula

â[(xâ - xâ)Â˛ + (yâ - yâ)Â˛].

New cards

25

Mid Point Formula

New cards

26

f (x)

F is a machine creating y out of X

New cards

27

Functions â

can only have One output value for every input value!

New cards

28

When Square root is already present in a function

only one version is necessary

New cards

29

When using square root as a solving technique

both + and -

New cards

30

Bracket [=

included

New cards

31

Parenthesis (=

Excluded

New cards

32

IDENTITY FUNCTION y=-f(x)

x-axis reflection making y-negative

New cards

33

IDENTITY FUNCTION y=f(-x)

y-axis reflection

-making x negative

New cards

34

Notationâ (fog)(x)

F(g(x)

âf of g of xâ

New cards

35

if you have 2 x-values

you do the domain for both

New cards

36

Quadratic Function standard form

f(x) = ax2 + bx + c

â a cannot equal 0

â b, c can be anything!!

New cards

37

Quadratic Formula for x-intercepts

New cards

38

How to solve for vertex?

x=-b/2a

New cards

39

if in standard form and leading coefficient is postive=

opens up

New cards

40

If leading coefficient is negative and in standard form =

opens down

New cards

41

Steps in solving a Quadratic Equation

Opens up/down

X-intercepts set equation = to zero

Y-intercept , set x=0

Factoring

New cards

42

Exponents both (+) or (-)

â touches (Bounces)

New cards

43

Opposite

crosses x-axis

New cards

44

x-intercepts

where x=o

New cards

45

Multiplicity evenâ

graph bounces off x-axis

New cards

46

Multiplicity oddâ

graph crosses x-axis

New cards

47

huge/tiny=

normal/tiny=

HUGE

New cards

48

normal/huge=

Still really tiny

New cards

49

tiny/tiny

could be tiny, normal or huge

New cards

50

Whats an asymptote?

a line or a curve that a function goes close to and might NEVER touch

New cards

51

Aysmptotes do NOT ..

X-axis

New cards

52

Rational Functions

a function defined as the quotient (division) of two polynomials

New cards

53

Asmpytotes may..

never be touched or be crossed by a function

New cards

54

Asymptotes of Polynomials

standard form

New cards

55

In order to solve for vertical asymptotes

set denominator equal to zero

New cards

56

How do you get a hole!

cancels out completely

New cards

57

How to find horizontal asymptotes

if top is heavy there is no horizontal asymptote

If the exponents are the same then divide both number

If bottom is heavy then it is zero

New cards

58

Rational functions.

x- intercept ânumerator

domainâ denominator

New cards

59

Orignial formula (Continious compounding interest formula)

P(t)=Pe^rt

p=principal

e= e on calculator

r= rate of interest

t=time in years

New cards

60

y=log a ^x

form

New cards

61

Exponential Form

base^exponent= result

a^t=R

New cards

62

Logarithmic form

New cards

63

Degree to radians â

x pie/180

New cards

64

Radioans to Pieâ

x 180/pie

New cards

65

For a Rational Function. intruder to find x-intercepts

set numerator equal to zero

New cards