Chapter 8, Problem 3MCQ

To determine

To calculate: To determine and explain if the each relation is a function

Answer to Problem 3MCQ

The relation is a function because no two ordered pairs in the set has same x-coordinate

Explanation of Solution

Given information: Set of ordered pair $\left\{\left(3,2\right),\left(-3,2\right),\left(4,4\right),\left(-4,4\right)\right\}$

Formula Used:

A set of ordered pairs is a function when no two different ordered pairs have the same x-coordinate,

Calculation:

Set of ordered pairs is given as follows:

  $\left\{\left(3,2\right),\left(-3,2\right),\left(4,4\right),\left(-4,4\right)\right\}$

There are $4$ ordered pairs in the set.

No two ordered pairs have same x-coordinate

Since the x-coordinate is NOT same for any two ordered pairs in the set

Thus, the set of ordered pairs is a function

Conclusion:

Hence, relation is a function.