Chapter 8, Problem 1MCQ

To determine

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

Answer to Problem 1MCQ

The relation is NOT a function

Explanation of Solution

Given information: Ordered pair $\left\{\left(0,5\right),\left(1,2\right),\left(1,-3\right),\left(2,4\right)\right\}$

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:

  $\left\{\left(0,5\right),\left(1,2\right),\left(1,-3\right),\left(2,4\right)\right\}$

There are $4$ ordered pairs in the set.

Consider the ordered pairs $\left(1,2\right)$ and $\left(1,-3\right)$

Here, x-coordinate is $-1$

Since the x-coordinate is same for two ordered pairs in the set

Thus, the set of ordered pairs is not a function

Conclusion:

Hence, relation is NOT a function.