Question

Use the domain and range of each of the following relations to determine which is a function.

Answer 1

A is the correct option

Explanation:

By using the definition of a function, we will decide which one is function.

A special relationship where each input has a single output.

For each value of x we must have one value of y

In option A each x value maps out to exactly one y value

For x = 7, y = 5

For x = -6, y = 0

For x = 2, y = 3

In option B, -6 as x is giving values of 0 and -2 as y which disqualifies it as a function

In option C, it is not given in ordered pair form of x and y. The relation is not given at all

In option D, for x = 7, y has values of 5 and 3. Which again is not qualifying the definition of a function.

Answer 2

Choice A

Explanation:

For a relation to qualify as a function, each value in the domain should yield exactly one value in the range