Question

What is the domain and range? Is the relation a function? Explain why or why not.

{(8.4, 3.8), (6.5, -2.6), (-3, 6)}​

Answer 1

Domain
`={{\bf 8.4 , 6.5 , -3}}` and Range
`={{\bf 3.8 , -2.6 , 6}}`

Explanation:

Let
`f(x)` be the given function

Function:

Function can be defined as "A special relationship where each input has a single output".

It is often written as "
`f(x)`" where x is the input value.

Domain:

The domain of a function is the complete set of possible values of the independent variable.

Range:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Function is the set of all ordered pairs of domain and range. It can be written as

`f(x)={{(a,b),(c,d),...}}` where
`{a,b,...}` are domain and
`{b,d,...}` are range

Given the ordered pairs of domain and range
`{(8.4,3.8),(6.5,-2.6),(-3,6)}` where
`{8.4,6.5,-3}` are domain and
`{3.8,-2.6,6}` are range.

ie, Domain
`={8.4 , 6.5 , -3}` and Range
`={3.8 , -2.6 , 6}`