Question

Is this relation a function?
(4,11) (5,18) (6,25) (7,32) (8,39)

Answer 1

Answer: Yes, the given relation is a function.

Explanation:

A relation is considered a function if every input (or domain value) is paired with exactly one output (or range value). In the given relation, each x-coordinate (input) is paired with a unique y-coordinate (output). Specifically:

1. The point (4,11) has an x-coordinate of 4 paired with a y-coordinate of 11.

2. The point (5,18) has an x-coordinate of 5 paired with a y-coordinate of 18.

3. The point (6,25) has an x-coordinate of 6 paired with a y-coordinate of 25.

4. The point (7,32) has an x-coordinate of 7 paired with a y-coordinate of 32.

5. The point (8,39) has an x-coordinate of 8 paired with a y-coordinate of 39.

Answer 2

yes

Explanation:

Yes, the given set of ordered pairs {(4, 11), (5, 18), (6, 25), (7, 32), (8, 39)} represents a function. In a function, each input (x-value) is associated with exactly one output (y-value). In this case, each x-value has a unique y-value, and there are no repetitions of x-values with different y-values. Therefore, it satisfies the definition of a function.