Chapter 4 Flashcards

1
Q

Cartesian product denoted as _

A

R x R or R^2

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2
Q

Cartesian product

A

all possible ordered pairs of real numbers

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3
Q

RxR =

A

{x,y|x is an element of R and y is an element of R}

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4
Q

R^2 is represented by

A

the Cartesian coordinate plane

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5
Q

relation R in R^2

A

any subset of R^2

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6
Q

function

A

set of ordered pairs for which each first component is paired with one and only one second component

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7
Q

y = f(x) means

A

the value of f at x

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8
Q

The value that is substituted for x in y = f (x) is called the _

A

argument for the function f

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9
Q

What is the name of the function f(x)

A

f

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10
Q

What is y = f(x)

A

image of x under f

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11
Q

(f+g)(x)=

A

f(x)+g(x)

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12
Q

(f-g)(x)=

A

f(x)-g(x)

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13
Q

(fg)(x)=

A

f(x)*g(x)

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14
Q

(f/g)(x)=

A

f(x)/g(x)

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15
Q

composition of two functions

A

(f*g)(x)

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16
Q

(f*g)(x)

A

f(g(x))

17
Q

how to read f(g(x))

A

f of g of x

18
Q

domain of f*g (x)

A

domain of g(x) in the domain of f(x)

19
Q

how to solve f(g(x))

A

find g(x) and apply it to f(x)

20
Q

does order matter in composition of functions

A

yes

21
Q

is composition of functions same as multiplying

A

no

22
Q

one-to-one function

A

one first component = only one second component

23
Q

inverse of f

A

f-1

24
Q

domain of f-1

A

range of f

25
Q

range of f-1

A

domain of f

26
Q

(f-1*f)(x)= and vice versa

A

x