This is true. Furthermore, functions can be broken down into one-to-one (each input provides a different output), and onto (all of Y is used when f(x) = y).
Answer - True, answer on apex.
The set of output values of a function or relation is the range
Is called "function".
A one-to-one or injective function.
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
It is a bijective function.
It assigns exactly one output value for each input value.
A function is a rule which assigns exactly one output f(x) to every input x.
Answer - True, answer on apex.
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
It's a type of function
The set of output values of a function or relation is the range
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
It is a injective relationship. However, it need not be surjective and so will not be bijective. It will, therefore, not define an invertible function.
That's a proper function, a conformal mapping, etc.
A relation is a function if every input has a distinct output.
Is called "function".