Which relation does not represent a function?
When looking at the graph of a relation, you can determine whether or not it is a function using the vertical line test. If a vertical line can be drawn anywhere through the graph such that it intersects the graph more than once, the graph is not function.
| 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 |
If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
Ex: Determine if a Table of Values Represents a Function - YouTube
Vertical lines are not functions. The equations y = ± x and x 2 + y 2 = 9 are examples of non-functions because there is at least one -value with two or more -values.
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs.
Determine if the equation represents a function - YouTube
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
A curve drawn in a graph represents a function, if every vertical line intersects the curve in at most one point.
What is a function in a table?
Definition. A function table has values of input and output and a function rule. In the function rule, if we plug in different values for the input, we get corresponding values of output. There is always a pattern in the way input values x and the output values y are related which is given by the function rule.
Which of these is not a type of relation? Explanation: Surjective is not a type of relation. It is a type of function. Reflexive, Symmetric and Transitive are type of 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.
