{(5, 2), (3, 4), (1, 2), (−1, 4)}
The range of the function.
The first coordinates in a set of ordered pairs of a relation or function are referred to as the "domain." Each unique first coordinate represents an input value for the function, which can be associated with one or more corresponding second coordinates (output values). In the context of a function, each input must map to exactly one output, ensuring that no input is repeated with different outputs.
Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
The term that describes the set of all possible values for a function is called the "range." The range includes all output values that the function can produce based on its domain (the set of all possible input values). In mathematical terms, if ( f: X \rightarrow Y ) is a function from set ( X ) to set ( Y ), then the range is a subset of ( Y ).
The codomain or range.
(sqrt2, 315)
(-3,-3)
(5, pi) or in other words, (5, 180)
The range of the function.
The range of a function is the set of all possible input values.
The first coordinates in a set of ordered pairs of a relation or function are referred to as the "domain." Each unique first coordinate represents an input value for the function, which can be associated with one or more corresponding second coordinates (output values). In the context of a function, each input must map to exactly one output, ensuring that no input is repeated with different outputs.
Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
The term that describes the set of all possible values for a function is called the "range." The range includes all output values that the function can produce based on its domain (the set of all possible input values). In mathematical terms, if ( f: X \rightarrow Y ) is a function from set ( X ) to set ( Y ), then the range is a subset of ( Y ).
domain
Domain
The codomain or range.
Domain describes all possible input values.