Library of Functions

Reginald Powell

Domain: All reals

Range: Y is greater than or equal to zero

Zeros: x=0

Symmetry: Respect with the y-axis

Function: Even

The function is not periodic

The function is not one-to-one

Domain: All reals

Range: All reals

Zeros: x=0

Symmetry: Respect with the origin

Function: Odd

The function is not periodic

The function is one-to-one

Domain: All Reals

Range: Y is greater than or equal to zero

Zeros: x=0

Symmetry: Respect with the y-axis

Function: Even

The function is not periodic

The function is not one-to-one

Domain: All Reals

Range: [-1,1]

Zeros: x=k multiplied by pi; when k is an integer

Symmetry: Respect with the origin

Function: Odd

Yes this function is periodic; the period is 2 multiplied by pi

The function is not one-to-one

Domain: All Reals

Range: [-1,1]

Zeros: x=k multiplied by pi, when k is an integer

Symmetry: Respect with the y-axis

Function: Even

Yes the function is periodic; the period is 2 pi

The function is not one-to-one

Domain: x=(2 multiplied by k multiplied by pi) multiplied by pi over 2

Range: All Reals

Zeros: x= multiples of pi

Symmetry: Respect with the origin

Function: Odd

Yes the function is periodic; the period is pi

The function is not one-to-one

Domain: All Reals; except for odd multiples of pi over 2

Range: Y is greater than or equal to 1; y is less than or equal to -1

Zeros: None

Symmetry: Respect with the y-axis

Function: Even

Yes the function is periodic; the period is 2 pi

The function is not one-to-one

Domain: All reals

Range: Y is greater than zero

Zeros: None

Symmetry: None

Function: Neither even nor odd

The function is not periodic

Yes the function is one-to-one

Domain: X is greater than zero

Range: All reals

Zeros: x=1

Symmetry: None

Function: Neither even nor odd

The function is not periodic

Yes the function is one-to-one

Domain: X cannot equal zero

Range: Y cannot equal zero

Zeros: None

Symmetry: Respect with the origin

Function: Odd

The function is not periodic

Yes the function is one-to-one

Domain: X is greater than or equal to zero

Range: Y is greater than or equal to zero

Zeros: x=0

Symmetry: None

Function: Neither even nor odd

The function is not periodic

Yes the function is one-to-one

Domain: [-a,a]

Range: [0,a]

Zeros: positive or negative a

Symmetry: Respect with the y-axis

Function: Even

The function is not periodic

The function is not one-to-one

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