Unit 1: Functional Analysis Flashcards

(15 cards)

1
Q

Function

A

A relation in which each input had exactly one output

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2
Q

Domain

A

The set of all possible input values (x-values) for which the function is defined

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3
Q

Range

A

The set of all possible output values (y-values) of a function

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4
Q

One-to-one function

A

A function in which no two different inputs have the same output

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5
Q

Even/Odd functions

A

An even function satisfies f(-x)=f(x); an odd function satisfies f(-x)=-f(x)

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6
Q

Piecewise function

A

Defined by different formulae on different parts of its domain

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7
Q

Composite function

A

(fog)(x)=f(g(x))

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8
Q

Inverse function

A

For an intvertible function f, the function f^-1 such that f(f^-1(x))=x and f^-1(f(x))=x

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9
Q

Degree

A

An expression using variables and integer exponents, involving +, -, x

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10
Q

Leading coefficient

A

The coefficient of the highest degree term

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11
Q

Horizontal asymtope

A

The set of possible output (y) values

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12
Q

Polynomial

A

The set of all possible input (x) values

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13
Q

Vertical asymptope

A

A line y=b that the graph approaches as x -> +infinity

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14
Q

Zero/Root

A

A value of x making f(x)=0

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15
Q

End behavior

A

A relation with exactly one output for every input

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