Range
The Range is the set of all possible output values of a function or relation.
The output is doubled.
The output is multiplied by 5.
The ratio of output force to input force.
the output is divided by 4
The set of output values of a function or relation is the range
A relation is a function if every input has a distinct output.
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
An example of a relation that is not a function is the relation defined by the set of points {(1, 2), (1, 3), (2, 4), (3, 5)}. In this relation, the input value 1 corresponds to two different output values (2 and 3), violating the definition of a function, which states that each input must have exactly one output. Therefore, since one input maps to multiple outputs, this relation is not a function.
The Range is the set of all possible output values of a function or relation.
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
A relation has pairs of numbers. A function is a special relation where for each input there is one and only one output.
It's a type of function
cost or input
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.
It is because a function is defined as a relation which cannot be one-to-many.