# Library Of Functions

# Y=X^2

Domain? All reals

Range? Y is greater than or equal to 0

Zeros/X-Intercept? x=0

Symmetry? Y-axis

Even or Odd? Even

Is the function periodic? No

Is f(x) one-to-one? No

# Y=X^3

Domain? All reals

Range? All reals

Zeros/X-Intercept? x=o

Symmetry? Origin

Even or Odd? Odd

Is the function periodic? No

Is f(x) one-to-one? Yes

# Y=|X|

Domain? All reals

Range? Y is greater than or equal to 0

Zeros/X-Intercept? x=0

Symmetry? Y-axis

Even or Odd? Even

Is the function periodic? No

Is f(x) one-to-one? No

# Y= Sin(x)

Domain? All reals

Range? Y is greater than or equal to -1 and less than or equal to 1

Zeros/X-Intercept? x=kπ (k as an integer)

Symmetry? Origin

Even or Odd? Odd

Is the function periodic? Yes (period of 2π)

Is f(x) one-to-one? No

# Y= Cos(x)

Domain? All reals

Range? Abs(y) must be less than or equal to 1

Zeros/X-Intercept? x=2k+1 (k as an integer)

Symmetry? Y-axis

Even or Odd? Even

Is the function periodic? Yes (period of 2π)

Is f(x) one-to-one? No

# Y= Tan(x)

Domain? All reals, but x can not be a multiple of π/2

Range? All reals

Zeros/X-Intercept? x=kπ (k as an integer)

Symmetry? Origin

Even or Odd? Odd

Is the function periodic? Yes (period of π)

Is f(x) one-to-one? No

# Y= Sec(x)

Domain? X cannot equal 2x+1

Range? Y is less than or equal to -1 & Y is greater than or equal to 1

Zeros/X-Intercept? None

Symmetry? Y-axis

Even or Odd? Even

Is the function periodic? Yes (period of 2π)

Is f(x) one-to-one? No

# Y=2^x

Domain? All reals

Range? Y is greater than 0

Zeros/X-Intercept? None

Symmetry? None

Even or Odd? None

Is the function periodic? No

Is f(x) one-to-one? Yes

# Y=Log2(x)

Domain? x is greater than 0

Range? All reals

Zeros/X-Intercept? x=1

Symmetry? None

Even or Odd? None

Is the function periodic? No

Is f(x) one-to-one? Yes

# Y= 1/X

Domain? X cannot equal 0

Range? Y cannot equal 0

Zeros/X-Intercept? None

Symmetry? Origin

Even or Odd? Odd

Is the function periodic? No

Is f(x) one-to-one? Yes

# Y=sq. root of X

Domain? X must be greater than or equal to 0

Range? Y must be greater than or equal to 0

Zeros/X-Intercept? x=0

Symmetry? None

Even or Odd? None

Is the function periodic? No

Is f(x) one-to-one? Yes

Domain? [-a,a]

Range? [0,a]

Zeros/X-Intercept? X= +/- a

Symmetry? Y-axis

Even or Odd? Even

Is the function periodic? No

Is f(x) one-to-one? No