Question

A set of ordered pairs is listed:

{ (4,-5) ( -3, -2) (5,-2) (1,7) (4, 8) }

The removal of which ordered pair would make this set of ordered pairs a function?

A) (4,8)
B) (-3,-2)
C) (1,7)
D) (5,-2)

Answer 1

A) (4, 8)

General Formulas and Concepts:

Algebra I

• Functions
• Vertical Line Test - The function must have only one y-value per x-value

Explanation:

Step 1: Define

Relation {(4, -5), (-3, -2), (5, -2), (1, 7), (4, 8)}

Step 2: Identify

When we apply the Vertical Line Test, we see that we have an error at x = 4. Therefore, this relation is not yet a function.

We can see that if we remove either (4, -5) or (4, 8), the relation would then pass the Vertical Line Test and become a function.

Therefore, our answer is A) (4, 8)