A relation is a function if every input has a distinct output.
yes.
relation and function are number that combine with number and neqative number to .
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
Because a function has additional restrictions, which the relation may, or may not, satisfy.
Function is a special case of relation. It means function is a relation but all relations are not functions. Therefore all functions are relations.
determine whether each relation is a function y equals -8
Two ways to determine whether the relation is a function is use a mapping diagram or use a vertical line test.
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
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
Not every relation is a function. But every function is a relation. Function is just a part of relation.
No, a function must be a relation although a relation need not be a functions.
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
yes.
A function is a relation whose mapping is a bijection.
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
No. A relation is not a special type of function.
You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).