GEN MATH Flashcards

1
Q

It is a special kind of relation in which no two distinct ordered pairs have the same first element.

A

function

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2
Q

The value that a function takes in.

The input.

A

Independent variable

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3
Q

the corresponding value that the function produces.
the output.
outputs are also known as values of f(x).

A

Dependent variable

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4
Q

The arrow is read as

A

is mapped to

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5
Q

colon symbol is read as

A

such that

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6
Q

may also be used to represent functions.
we can substitute a value of y to obtain a
corresponding value of x.

A

candidate functions

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7
Q

denote equality between two expressions

A

equations

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8
Q

denote relationships between two variables

A

functions

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9
Q

can be represented by writing the appropriate

functions for each interval

A

piecewise function

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10
Q

is a set of objects, such as numbers,
grouped with each other that may or may not
represent a pattern.

A

relation

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11
Q

It is simply a set of ordered pairs

that are arranged in an orderly manner.

A

relation

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12
Q

Each value of x is unique and is associated with a unique value of y .

A

one to one relation

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13
Q

Two or more values of x are associated with the same value of y.

A

many to one relation

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14
Q

Some values of x are associated with more than one value of y.

A

one to many relation

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15
Q

Some values of both x and y are associated with more than one value of their
counterpart.

A

many to many relation

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16
Q

is a special kind of relation in which
no two distinct ordered pairs have the same first
element

17
Q

can be used to determine if a graph represents a function.

A

vertical line test

18
Q

is a
graphic organizer or chart that helps you determine two or more points that can be used
to create your graph.

A

table of values

19
Q

is the set of
all values of the independent variable x
that have corresponding values of
the dependent variable y.

A

domain of a function

20
Q

is the set of all
values of y that can be obtained from
the possible values of x.

A

range of a function

21
Q

function is defined in the form of a linear equation, has a degree of 1

A

linear function

22
Q

graph of linear function

A

straight line

23
Q

domain of any linear function and the range of any linear function

A

set of real numbers

24
Q

function is defined in the form of a quadratic equation, has a degree of 2

A

quadratic function

25
graph of quadratic function
parabola
26
domain of any quadratic function and range of the function
set of real numbers and nonnegative real number
27
If a function is defined in the form of a polynomial equation whose degree is greater than 2.
polynomial function
28
If the degree of a polynomial function is odd, then its domain and range are both equal to ___. This is the case for every polynomial function whose degree is 3, 5, 7 or any other odd number.
set of real numbers
29
a function is defined in the form of a rational equation. It | is the ratio of two polynomials.
rational function
30
function is defined in the form of an equation that contains radical expressions
radical function
31
general formula of addition of functions
(f+g)(x)= f(x)+g(x)
32
general formula of subtraction of functions
(f-g)(x)= f(x)-g(x)
33
general formula of multiplication of functions
(f.g)(x)= f(x).g(x)
34
general formula of division of functions
(f/g)(x)= f(x)/g(x)
35
the composition of two functions f(x) and g(x) is denoted by (f o g) (x)
function composition
36
general formula of function composition
(f o g)(x)= (f(g(x))