Question

1) Find the domain and range of this relation. Is it a function?

{(0,0),(1,1),(2,4),(3,9),(4,-6)}

Answer 1

you have a set of (x,y) pairs

domain: the set of x values
range: the set of y-values
it's a function if no x-value is repeated

better review the topic.

Answer 2

Thank you!

Answer 3

[AI-generated answer — Explain Bot]

To find the domain and range of a relation, we need to look at the set of inputs (x-values) and the set of outputs (y-values) in the relation.

In this relation: {(0,0),(1,1),(2,4),(3,9),(4,-6)}

The set of all x-values (inputs) is {0, 1, 2, 3, 4}. So, the domain of the relation is {0, 1, 2, 3, 4}.

The set of all y-values (outputs) is {0, 1, 4, 9, -6}. So, the range of the relation is {0, 1, 4, 9, -6}.

Now, to check if it is a function, we need to make sure that each input (x-value) is associated with exactly one unique output (y-value). If there are any repeating x-values with different y-values, it would not be a function.

In this relation, each x-value only appears once, and each x-value is associated with exactly one y-value. Hence, it is a function.

To summarize:
Domain: {0, 1, 2, 3, 4}
Range: {0, 1, 4, 9, -6}
Function: Yes