Unit 1- Summer 2018 Flashcards
relation
collection or set of ordered pairs
function
type of relation where every first coordinate has a distinct second coordinate
domain
x values
range
y values
functional values
are also output blues aka y values
linear, quadratic, cubic function domain
all XER
even
exponents are all even
- symmetric around the y axis aka if you put a mirror, it will flip
odd
exponents are odd
- symmetric around origin. take a point and flip it around
even how to do algebra
sub in -x for x and if f(-x)=f(x) then function is even
odd how to do algebra
sub in -x for x and if f(-x)= -f(x) then it is odd
continuous functions
can be drawn without lifting pencil
one-to-one
when no two elements in the x have the same image in the range then the inverse is also a function
even how to do algebra
sub in -x for x and if f(-x)=f(x) then function is even
odd how to do algebra
sub in -x for x and if f(-x)= -f(x) then it is odd
continuous functions
can be drawn without lifting pencil
one-to-one
when no two elements in the x have the same image in the range then the inverse is also a function
y is a function of x
find if the inverse is a function
when it says how does “___” affect the graph?
show using mapping notation
mapping notation
(x +h/b, ay +k)
piecewise function
a function defined by using two or more rules on two or more intervals; as a result, the graph is made up of two or more pieces of similar or different functions
piecewise function domains
written as
[__function__, domain
[__function__, domain
etc.
absolute value is
always a positive number
composition
when two functions con be combined like this
ex. f(g(x)) AKA (f . g)(x)
Absolute valu function
The absolute value of a number, defined as its distance on the number line to the origin
