Posted on April 26, 2022 (Updated on July 9, 2025)

Does the relation represent a function?

Space & Navigation

WRITING IN MATH How can you determine whether a relation represents a function? SOLUTION: A relation is a function if each element of the domain is paired with exactly one element of the range. If given a graph, this means that it must pass the vertical line test.

How do you know if the relation is a function?

A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point.

Is the relation a function yes or no?

ANSWER: Sample answer: You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Which among the relations is not a function?

Examples

A relation which is not a function A relation that is a function
As we can see duplication in X-values with different y-values, then this relation is not a function. As every value of X is different and is associated with only one value of y, this relation is a function

Are all function relations?

All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output. Here are mappings of functions. The domain is the input or the x-value, and the range is the output, or the y-value.

Which set of relations is a function?

If every element of a set A is related with one and only one element of another set then this kind of relation qualifies as a function. A function is a special case of relation where no two ordered pairs can have the same first element. This notation f:X→Y denotes that f is a function from X to Y.

Why is a function a relation and a relation not a function?

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

What makes a function not a function?

A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.