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
y = log749
Logarithmic Function
26
Absolute value of any number “c” is represented in the form of |c|. It is in the form: f x = |x|
Absolute Value Function
27
f x = x − 4 + 2
Absolute Value Function
28
Is any set of ordered pairs
Relation
29
set of all first elements of the ordered pair
Domain
30
Can be used if there is more than one the formula required to obtain an output.
Piecewise Function
31
One-to-many correspondence is an example of a function. <>>
False
32
Input is the dependent variable while the output is the <>
False
33
Is also called a “function of functions”
Composite Function
34
If a function is substituted to all variables in another function, you are performing a _________ to create another function.
composition of function
35
If the vertical line test passed the graph more than once at most times, it is still considered as a function. <>
False
36
The vertical line test is used to determine which graph is a relation or not. <>
False
37
____________ is used to determine which graph is a function or not.
The Vertical Line Test
38
A function is a set of ordered pairs. <>
True
39
All function sets are considered as relation sets. <>
True