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? All 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 functions without fun.

Project done by Haley Judd and Sarah Keel

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