*Library of Functions*

*Library of Functions*

*Reginald Powell*

*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**