Chapter 8.3, Problem 49SR

To determine

To calculate: To determine whether the relation is a function

Answer to Problem 49SR

The relation is not function

Explanation of Solution

Given information: Relation is $\left\{\left(-0.1,5\right),\left(0,10\right),\left(-0.1,-5\right)\right\}$

Formula Used:

Set of Ordered pairs is function if no two ordered pairs have the same first coordinate with different second coordinates.

Calculation:

Relation is given as follows:

  $\left\{\left(-0.1,5\right),\left(0,10\right),\left(-0.1,-5\right)\right\}$

Consider ordered pair $\left(-0.1,5\right)$

Here, first coordinate is $-0.1$ and second is $5$

Now, consider ordered pair $\left(-0.1,-5\right)$

Here also, first coordinate is $-0.1$ , but second is $-5$

Thus, two ordered pairs have the same first coordinate with different second coordinates.

Conclusion:

Hence, the relation is not function