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Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.
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Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
When does a relation be a function?
A function is a relation whose mapping is a bijection.
A relation is a special type of function?
No. A relation is not a special type of function.
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
What is the difference between function and a relation?
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.
