Chapter 4 Flashcards
Cartesian product denoted as _
R x R or R^2
Cartesian product
all possible ordered pairs of real numbers
RxR =
{x,y|x is an element of R and y is an element of R}
R^2 is represented by
the Cartesian coordinate plane
relation R in R^2
any subset of R^2
function
set of ordered pairs for which each first component is paired with one and only one second component
y = f(x) means
the value of f at x
The value that is substituted for x in y = f (x) is called the _
argument for the function f
What is the name of the function f(x)
f
What is y = f(x)
image of x under f
(f+g)(x)=
f(x)+g(x)
(f-g)(x)=
f(x)-g(x)
(fg)(x)=
f(x)*g(x)
(f/g)(x)=
f(x)/g(x)
composition of two functions
(f*g)(x)
(f*g)(x)
f(g(x))
how to read f(g(x))
f of g of x
domain of f*g (x)
domain of g(x) in the domain of f(x)
how to solve f(g(x))
find g(x) and apply it to f(x)
does order matter in composition of functions
yes
is composition of functions same as multiplying
no
one-to-one function
one first component = only one second component
inverse of f
f-1
domain of f-1
range of f
range of f-1
domain of f
(f-1*f)(x)= and vice versa
x
