# Library of Functions

By: Brittney Daniels

Domain: All Reals

Range: The range is, y is** greater than** or **equal to** 0.

Zeros when f(x)=0 : x=0

Symmetry: Y-axis

Even or odd function : Even

Is the function periodic? : No

Is the function one- to -one? : No

# Picture of Graph

# Next Function

Domain: All Reals

Range: All Reals

Zeros when f(x)=0): x=0

Symmetry: Origin Symmetry

Even or Odd function: Odd

Is the function periodic? : No

Is the function One-to-one? : Yes

# Picture of Graph

# Next Function

Domain: All Reals

Range: The range is, y is **greater than** or **equal to** 0.

Zeros when f(x)=0): x=0

Symmetry: y- axis

Even or Odd Function: Even

Is the function periodic?: No

Is the function one-to-one?: No

# Picture of Graph

# Next Function

Domain: All reals

Range: [ -1, 1]

Zeros when f(x)=0): x = multiples of Pi

Symmetry: Origin

Even or Odd Function: Odd

Is the function periodic?: Yes ,and the period is 2 Pi.

Is the function one-to-one?: No

# Picture of Graph

# Next Function

Domain: All reals

Range: [-1,1]

Zeros when f (x) = odd multiples of pi divided by 2

Symmetry: Y-axis

Even or Odd function: Even

Is the function Periodic? Yes, and the period is 2 Pi.

Is the function one-to-one? No

# Picture of Graph

# Next Function

Domain: All reals except odd multiples of Pi divided by 2

Range: All Reals

Symmetry: Origin

Even or Odd function: Odd

Is the function periodic? Yes, and the period pi

Is the function one-to-one? No

# Picture of Graph

# Next Function

Domain: All reals except for odd multiples of Pi divided by 2

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

Zeros when f(x) = 0 ) : none

Symmetry: Y- axis

Even or Odd function: Even

Is the function periodic? : Yes, the period is 2 Pi

Is the function one-to-one? : No

# Picture of Graph

# Next Function

Domain: All Reals

Range: Y is **greater than** 0

Zeros when f(x) = 0 ) : None

Symmetry: Neither

Even or Odd function: Neither

Is the function periodic? : No

Is the function one-to-one? Yes

# Picture of Graph

# Next Function

Domain: x > 0

Range: All reals

Zeros when f(x) = 0) : x = 1

Symmetry: Neither

Even or Odd function : Neither

Is the function periodic? : No

Is the function one-to-one? : Yes

# Picture of Graph

# Next Function

Domain: x **cannot** equal 0

Range: y **cannot** equal o

Zeros when f(x) = 0 ) : None

Symmetry: Origin

Even or Odd function : Odd

Is the function periodic? No

Is the function one-to-one? : Yes

# Picture of Graph

# Next Function

Domain: x is **greater than** or e**qual** to 0

Range: y is** greater than** or** equal **to 0

Zeros when f(x) = 0 ) : x = 0

Symmetry: Neither

Even or Odd function: Neither

Is the function periodic? : No

Is the function one-to-one: Yes

# Picture of Graph

# Next Function

# Picture of Graph

Domain: [-a,a]

Range: [ 0,a]

Zeros when f(x) = 0) : -a , a

Symmetry: Y- axis

Even or Odd function: Even

Is the function periodic? No

Is the function one-to-one? : No