# Library of Functions!

Domain? *All reals.*

Range? *y greater than or equal to zero. *

Zeros?* x=0*

Symmetry? Even or Odd?* Y-axis symmetry; even.*

Periodic? *No.*

One-to-one?* No*.

Here's what the graph looks like...

Domain? *All reals.*

Range? *All reals.*

Zeros?* x=0*

Symmetry? Even or Odd? *Origin symmetry; odd.*

Periodic? *No.*

One-to-one? *Yes.*

Here's what the graph looks like...

Domain? *All reals.*

Range? *y greater than or equal to zero.*

Zeros? *x=0*

Symmetry? Even or Odd?* Y-axis symmetry; even.*

Periodic?* No.*

One-to-one? *No.*

Here's what the graph looks like...

Domain? *All reals.*

Range? *[-1,1]*

Zeros? *x=multiples of pi*

Symmetry? Even or Odd? *Origin symmetry; odd.*

Periodic? *Yes, 2(pi).*

One-to-one?* No.*

Here's what the graph looks like...

Domain? *All reals.*

Range? *[-1,1]*

Zeros? *Odd multiples of pi over two.*

Symmetry? Even or Odd? *Y-axis symmetry; even.*

Periodic? *Yes, 2(pi).*

One-to-one? *No.*

Here's what the graph looks like...

Domain? *All reals except odd multiples of pi over two.*

Range? *All reals.*

Zeros?* Multiples of pi.*

Symmetry? Even or Odd?* Origin symmetry; odd*.

Periodic? *Yes, 2(pi).*

One-to-one? *No.*

Here's what the graph looks like...

Domain? *All reals except odd multiples of pi over two.*

Range? *Y is less than or equal to negative 1, and Y is greater than or equal to 1*

Zeros? *none*

Symmetry? Even or Odd? *Y-axis, even*

Periodic? *yes*

One-to-one? *no*

Here's what the graph looks like...

Domain? A*ll reals*

Range? Y* is greater than 0.*

Zeros? *none*

Symmetry? Even or Odd? *neither, neither*

Periodic? *no*

One-to-one? *yes*

Here's what the graph looks like...

Domain? *X is greater than 0.*

Range? *All reals*

Zeros? *x=1*

Symmetry? Even or Odd? *Neither, Neither*

Periodic? *No*

One-to-one? *Yes*

Here's what the graph looks like...

Domain? *X can not equal 0.*

Range? *Y can not equal 0.*

Zeros?* None*

Symmetry? Even or Odd? *Origin, Odd*

Periodic? *No*

One-to-one?* Yes*

Here's what the graph looks like...

Domain? *X is greater than or equal to 0.*

Range? *Y is greater than or equal to 0.*

Zeros? *X=0*

Symmetry? Even or Odd? *Neither, Neither*

Periodic? *No*

One-to-one? *Yes*

Here's what the graph looks like...

And finally...

Domain? *[-a,a]*

Range? *0 is less than or equal to y while y is less than or equal to a.*

Zeros? X= *plus or minus a*

Symmetry? Even or Odd? *Y-axis ,Even*

Periodic? *No*

One-to-one? *No*

Here's what the graph looks like...

# And remember...

# You can't spell *fun*ctions without fun.

Project done by Haley Judd and Sarah Keel