Functions: having trouble with definition in my book

[iceking]

I have a definition for "functions" in my math book, but I don't understand it. The definition is "a relation in which each first coordinate is paired with exactly one second coordinate" Can someone explain it?

[stapel_eliz]

Can someone explain it?

Got ya covered right here!

[iceking]

Thank you! Now I understand it!

[iceking]

Now I have another definition "dependent variable" (regarding functions) the definition is: "the variable representing the second elements of the ordered pairs in a function; the outputs." Does this basically mean "The y-values in an equation regarding that function"?

[stapel_eliz]

Yes. The x-value is the "independent" variable: you, independently, choose the value of x. The y-value is the "dependent" variable: it depends on what you picked for x.

[iceking]

Yes. The x-value is the "independent" variable: you, independently, choose the value of x. The y-value is the "dependent" variable: it depends on what you picked for x.

Thanks!