Question

Does this set of ordered pairs represent a function?

{(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}

Answer 1

yes...because every x value corresponds to exactly one y value

a function will not have any repeating x values...it can have repeating y values, just not the x ones. So if all the x values are different, then it is a function

Answer 2

Option C is correct

Yes, the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)} represents the function.

because every x-value corresponds to exactly one y-value.

Explanation:

A function states that it is a relation in which every domain value is paired with exactly one element of range.

Given the set of ordered pair:

{(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}

Domain is all the x-values, and range is all the y-values.

Domain: {-5, -1, 0, 3, 8}

Range: {-5, -2, -2, 7, 9}

By definition:

each input value (i.e x values) is paired with exactly one element of y-value.

therefore,the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)} represents the function.