Question

3. A function is defined by the set of ordered pairs {(-2, 3), (-1,4), (0,5)}. Which ordered pair below, if added to this set, would create a set that no longer represents a function? (1,5) (-1,-4) (3,-2) (-4,-1)​

Answer 1

(-1, -4)

Explanation:

A function can use each value of x only once.

To create a relation that is not a function, you need to add an ordered pair that has an x-coordinate that is already used in the function.

Set of x-coordinates already in the function (domain): {-2, -1, 0}

Set of x-coordinates of the extra points: {1, -1, 3, -4}

x-coordinate in both sets: -1

Answer: (-1, -4)