Question

Determine whether each relationship is a function. State the domain and range of each relation.

Answer 1

The relationship is a function and has:

Domain: -2 ≤ x ≤ 2

Range: 5 ≤ y ≤ 9

What is the domain and range?

The domain of a function is the set of all possible input values, while the range is the set of all possible output values. In other words, the domain is the set of x-values that can be plugged into a function, while the range is the set of y-values that the function can produce.

Thus:

Domain is: -2 ≤ x ≤ 2

Range is: 5 ≤ y ≤ 9

We see that each input has a unique output and also that the function has a constant ratio. Thus, it is a function

Answer 2

By looking at the table we can determine that each element of the domain is paired with exactly one element of the range. Hence, it is a function.

D:

The domain of a function is the complete set of possible values of the independent variable in this case

-2 ≤ x ≤ 2

R:

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 in this case it will be

5 ≤ y ≤ 9