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

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embizze | High School Teacher | (Level 1) Educator Emeritus

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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:
embizze's profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

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:

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