Chapter 8, Problem 2MCQ

To determine

To explain if the each relation is a function

Answer to Problem 2MCQ

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 $\left\{\left(-6,3.5\right),\left(-3,4.0\right),\left(0,4.5\right),\left(3,5.0\right)\right\}$

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:

  $\left\{\left(-6,3.5\right),\left(-3,4.0\right),\left(0,4.5\right),\left(3,5.0\right)\right\}$

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.