General Math Definitions #1 Flashcards

1
Q

Is an algebraic expression that contains exactly one
term.

A

Monomial

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2
Q

Is the sum of one or more monomials.

A

Polynomial

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3
Q

Polynomial with one term

A

monomial

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4
Q

has the same output value no matter what your input value is. It has a form of f(x) = b, where b is a constant (a single value that does not change)

A

Constant Function

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5
Q

f(x) = b

A

Constant Function

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6
Q

Is a function that returns the same value which was used as its argument.
F(x)=x; for all values of x

A

Identity Function

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7
Q

F(2)=2 (x=2)

A

Identity Function

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8
Q

Y=7

A

Constant Function

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9
Q

Is defined by y = a0 + a1 + a2 … + anx

A

polynomial function

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10
Q

A polynomial function in the first degree.
It is in the form y=mx+b

A

Linear Function

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11
Q

y = 2x + 5

A

Linear Function

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12
Q

A polynomial function in the second degree
y = ax2 + bx + c

A

Quadratic Function

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13
Q

y = 3x^2 + 2x + 5

A

Quadratic Function

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14
Q

A polynomial of degree three and can be denoted by
f x = ax^3 + bx^2 + cx + d

A

Cubic Function

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15
Q

f x = ax^3 + bx^2 + cx + d

A

Cubic Function

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16
Q

f x = 5x^3 + 2x^2 + 3x + 6

A

Cubic Function

17
Q

A polynomial function in the form y = ax^b

A

Power Function

18
Q

y = ax^b

A

Power Function

19
Q

f x = 8x^5

A

Power Function

20
Q

A function that can be represented by p(x)
q(x) in which numerator,p(x) and the denominator, q(x) are polynomial functions of x, where q(x)≠0

A

Rational Function

21
Q

f x =x2 − 3x + 2/ x2 − 4 «fraction»

A

Rational Function

22
Q

They are functions of the form:

y = abx

where x = is an exponent
a and b = constants

A

Exponential Function

23
Q

y = 2^x

A

Exponential Function

24
Q

Are inverses of exponential functions, and any exponential function can be
expressed in logarithmic functions. It is written in the form:

y = logbx ; x > 0
Where b>0 and b≠1

A

Logarithmic Function

25
Q

y = log749

A

Logarithmic Function

26
Q

Absolute value of any number “c” is represented in the form of |c|. It is in
the form:

f x = |x|

A

Absolute Value Function

27
Q

f x = x − 4 + 2

A

Absolute Value Function

28
Q

Is any set of ordered pairs

A

Relation

29
Q

set of all first elements of the ordered pair

A

Domain

30
Q

Can be used if there is more than one
the formula required to obtain an output.

A

Piecewise Function

31
Q

One-to-many correspondence is an example of a function. «True or false»>

A

False

32
Q

Input is the dependent variable while the output is the «True or false»

A

False

33
Q

Is also called a “function of functions”

A

Composite Function

34
Q

If a function is substituted to all variables in another
function, you are performing a _________ to
create another function.

A

composition of function

35
Q

If the vertical line test passed the graph more than once at
most times, it is still considered as a function. «True or False»

A

False

36
Q

The vertical line test is used to determine which graph is a
relation or not. «True or false»

A

False

37
Q

____________ is used to determine which graph is a
function or not.

A

The Vertical Line Test

38
Q

A function is a set of ordered pairs. «True or false»

A

True

39
Q

All function sets are considered as relation sets. «True or false»

A

True