3 years ago

If you make x dollars per hour and you work 8 hours, how much money will you make?

1 answer:

7 0

You would make X amount of dollars. I can’t give you an exact amount of money because you didn’t tell me how much you make per hour!

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Which statement is correct about relations and functions?

aniked [119]

Definition 1: A relation is any subset of a Cartesian product. For instance, a subset of $A\times B$ , called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of $A\times A$ is called a "relation on A."

Definition 2: A function is a relation that associates each element x of a set X to a single element y of another set Y (possibly the same set). A function is uniquely represented by its graph which is the set of all ordered pairs (x, f (x)).

From these definitions you can see that every function is a relation from X to Y, but not via versa (because you can consider relation $\{1\}\times \{2,3\}$ - here for one x exist two y).