Question

State the domain and range. Determine if the relation is a function.

(-1,3), (4,1), (-1,0), (-1,2)

Answer 1

Domain is [-1,4]

Range is [0, 1,2,3]

The domain is the first number in the given pairs.

Answer 2

x-values (or domain): -1, 4, -1, -1

y-values (or range): 3, 1, 0, 2

Domain: The domain is the set of all x-values. Here, the domain is {-1, 4}.

Range: The range is the set of all y-values. Here, the range is {3, 1, 0, 2}.

Is it a function?

For a relation to be a function, each x-value must correspond to exactly one y-value. In this case, the x-value -1 is paired with the y-values 3, 0, and 2. Since the x-value -1 corresponds to more than one y-value, the relation is not a function.