# Library of Functions

### We have all functions from A-Z ...

Domain: R

Range: y>0 or y=0

Zeros: x=0

Symmetry: y-axis

Even or Odd: even

Is the function periodic: no

Is f(x) a one to one function: no

Domain: R

Range: R

Zeros: x=0

Symmetry: origin

Even or Odd: Odd

Is the function periodic: No

Is f(x) one to one function: Yes

Domain: R

Range: y>0 or y=0

Zeros: x=o

Symmetry: y-axis

Even or Odd: even

Is the function periodic: No

Is f(x) a one to one function: No

Domain: R and x<-1 or x=-1

Range: y<1 or y=1

Zeros: x=k times pie and k=J

Symmetry: Origin

Even or Odd: Odd

I

Domain: R

Range: y<1 or y=1

Zeros: x= (2k+1)times pie divided by 2

Symmetry: y-axis

Even or Odd: Even

Is the function periodic: Yes

Is f(x) a one to one function: no

Domain: x=R    x=(2k+1)times pie divided by 3

Range: R

Zeros: x=k times pie  k=J

Symmetry: Origin

Even or Odd: Odd

Is the function periodic: Yes

Is f(x) a one to one function: No

Domain: x=R   x=(2k+1) times pie divided by 2  k=J

Range: y>1 or y=1

Zeros: none

Symmetry: y-axis

Even or Odd: Even

Is the function periodic: Yes

Is f(x) a one to one function: No

Domain: R

Range y>0

Zeros: None

Symmetry: Neither

Even or Odd: Neither

Is the function periodic: No

Is f(x) a one to one function: Yes

Domain: x>0

Range: R

Zeros: x=1

Symmetry: Neither

Even or Odd: Neither

Is the function periodic: No

Is f(x) a one to one function: Yes

Domain: x=R   x does not equal 0

Range: y=R  y does not equal 0

Zeros: None

Symmetry: Origin

Even or Odd: Odd

Is the function periodic: No

Is f(x) a one to one function: Yes

Domain: x>0 or x=0

Range: y>0 or y=0

Zeros: x=0

Symmetry: Neither

Even or Odd: Neither

Is the function periodic: No

Is f(x) a one to one function: Yes

Domain: x<a  x=a

Range: y>0 or y=0 and y<a or y=a

Zeros: x=-a or x=+a

Symmetry: y-axis

Even or Odd: Even

Is the function periodic: No

Is f(x) a one to one function: No

# The End

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