range of a function

7.4

All the possible values a rule gives when you put numbers in

noun

Specialized

: rango de una función

The range of a function is the set of all possible output values it can produce.

Examples

For f(x) = sin(x), the range of a function is all real numbers between -1 and 1, inclusive.
If the range of a function is restricted, some outputs may never be achieved.
The range of a function can be determined graphically.
To find the range of a function, analyze its output values.
For f(x) = sin(x), the range of a function is all real numbers between -1 and 1, inclusive.
The range of a function is the set of all possible output values it can produce.
To find the range of a function, analyze its output values.

Synonyms

range

vsrange of a function

Specialized

31 3.7

All numbers or values that a math function can give

is limited to output values of a function given its domain

image

vsrange of a function

Specialized

20 8.0

The values a function gives from its inputs

is the same meaning but expressed with a longer descriptive phrase

How Many

range of a function

Specialized

7.4

singleton

Specialized

1 8.0

Surface Forms

range of a function singular

ranges of a function plural

Morphology

range + of + a + function

The phrase is directly compositional: 'range' denotes the set of outputs and 'function' denotes a mapping, so 'range of a function' straightforwardly means the set of values produced by that function. While mathematical register is specialized, a B1 learner who knows the constituent meanings and the linking 'of' can infer this technical sense, and many languages use an equivalent compositional structure.

Etymology

The term range of a function comes from the everyday word range, meaning 'all the things in an area or list.' Imagine a machine (the function) that gives items; the items it can ever give are the range of a function, so it means the group of all possible outputs.