Chapter 8.1, Problem 12PPS

To determine

To calculate: Justify whether each relation is a function.

Answer to Problem 12PPS

The given relation is a function.

Explanation of Solution

Given: $\left\{\left(8,9\right),\left(9,10\right)\left(10,11\right),\left(11,12\right)\right\}$

The relation is said to be function, if every single element of the domain is associated with one element of the range.

Domain: The domain the set of possible input values, which are shown on the x-axis.

Range: The range is the set of possible output values, which are shown on the y-axis.

Check the domain and range of the given relation:

It can be seen from above that each domain have a single range.

Therefore, the given relation is a function