Answer - True, answer on apex.
The set of output values of a function or relation is the range
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.
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
You can use the vertical line test to determine if a relation is a function. It's pretty simple: if there is any part of the graph where there are more than one of the same x-values for different y-values (ex. (3,2), (3,5), and (3,9)), the relation is not a function
false
The set of output values of a function or relation is the range
The Range is the set of all possible output values of a function or relation.
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.
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.
The co-domain or range.
Range
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.
No, it is described as a relation.
A relation is a mapping or pairing of input values with output values.
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.
A function in which each y-value has more than one corresponding x-value is not considered a function in mathematical terms. This is because, by definition, a function assigns exactly one output (y-value) for each input (x-value). When a single y-value is associated with multiple x-values, it creates a relation rather than a function. In such cases, the relationship can be described as a multivalued function or a relation, but it does not meet the criteria of a function.
It is a function from the set of x-values to the set of y-values.