# What are some of the key vocabulary words for functions and what are their definitions?

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Some of these will be a bit beyond 9th grade:

**Domain**: the set of all possible inputs(arguments) -- also called the set of **pre-images**

**Range**: The set of all possible outputs(values) or the set of **images**

Real-valued:inputs and outputs are real

Complex:outputs and/or inputs might have imaginary components

**even functions** -- exhibit reflection symmetry about the y-axis

**odd functions** -- exhibit rotational symmetry about the origin

**Continuous functions** -- naively, functions whose graphs can be drawn without lifting your pencil

**1-1 functions** -- every image has exactly one preimage.**injective**

**onto functions** -- every element of the range getsmapped back to an element in the domain. **surjective**

**bijective** -- 1-1 and onto

Types of basic functions:

**Polynomial** -- usually considered as a function in one variable (e.g. f(x)) where the variable has only non-negative, whole number exponents and the coefficients are real. Examples include **linear** (first degree), **quadratic**(2nd degree),` ` **cubic** (3rd degree).

**Exponentials** -- `f(x)=a^x`

**Logarithmic** -- `f(x)=log_bx`

**Periodic** -- includes the trigonometric functions.

**Sources:**

Some of these will be a bit beyond 9th grade:

**Domain**: the set of all possible inputs(arguments) -- also called the set of **pre-images**

**Range**: The set of all possible outputs(values) or the set of **images**

Real-valued:inputs and outputs are real

Complex:outputs and/or inputs might have imaginary components

**even functions** -- exhibit reflection symmetry about the y-axis

**odd functions** -- exhibit rotational symmetry about the origin

**Continuous functions** -- naively, functions whose graphs can be drawn without lifting your pencil

**1-1 functions** -- every image has exactly one preimage.**injective**

**onto functions** -- every element of the range getsmapped back to an element in the domain. **surjective**

**bijective** -- 1-1 and onto

Types of basic functions:

**Polynomial** -- usually considered as a function in one variable (e.g. f(x)) where the variable has only non-negative, whole number exponents and the coefficients are real. Examples include **linear** (first degree), **quadratic**(2nd degree), **cubic** (3rd degree).

**Exponentials** --

**Logarithmic** --

**Periodic** -- includes the trigonometric functions.

**Sources:**http://www.enotes.com/topic/Function_%28mathematics%29

**Sources:**