Episide I: The Swaggiest Thing Eva Flashcards

0
Q

Function

A

a relation in which every element of the domain is paired with exactly one element of the range; that is, for every value of x, there is exactly one value of y.

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1
Q

Curve

A

the graphical representation of the solution set for y = f(x); in the special case of a linear equation, the curve will be a line

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2
Q

Dependent Variable

A

the output variable of a function

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3
Q

Domain

A

the set of all inputs of a function; the set of x-values that are valid for the function

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4
Q

Function Notation

A

a way to name a function using f(x) instead of y

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5
Q

Independent Variable

A

the input variable of a function

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6
Q

Linear Equation

A

an equation that can be written in the form ax + by = c, where a, b, and c are rational numbers; can also be written as y = mx + b, in which m is the slope, b is the y-intercept, and the graph is a straight line. The solutions to the linear equation are the infinite set of points on the line

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7
Q

Ordered Pair

A

a pair of values (x, y) where the order is significant

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8
Q

Range

A

the set of all outputs of a function; the set of y-values that are valid for the function

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9
Q

Relation

A

a relationship between two sets of elements

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10
Q

Solution Set

A

the set of ordered pairs that represent all of the solutions to an equation or a system of equations

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11
Q

System

A

a set of more than one equation

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12
Q

Discrete

A

individually separate and distinct

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13
Q

Explicit Formula

A

a formula used to find the nth term of a sequence; the explicit formula for an arithmetic sequence is an = a1 + (n – 1)d; the explicit formula for a geometric sequence is an = a1 • r n – 1

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14
Q

Natural Numbers

A

set of positive numbers [1, 2, 3, 4…]

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15
Q

Recursive Formula

A

a formula used to find the next term of a sequence when the previous term or terms are known; the recursive formula for an arithmetic sequence is an = an – 1 + d; the recursive formula for a geometric sequence is an = an – 1 • r

16
Q

Sequence

A

an ordered list of numbers

17
Q

Asymptote

A

a line that a graph gets closer and closer to, but never crosses or touches

18
Q

Continuous

A

having no breaks

19
Q

Domain

A

the set of all inputs in a formula

20
Q

Extrema

A

the minima and maxima in a function

21
Q

Integer

A

a number that is not a fraction or a decimal

22
Q

Intercept

A

the point where a line on the x or y-axis meet/ intersect

23
Q

Interval

A

continuous series of values

24
Q

Irrational Numbers

A

numbers that cannot be written as a/b, where a and b are integers and b ≠ 0; any number that cannot be written as a decimal that ends or repeats