Q57. - Algebra 1

Question

Determine whether each relation is a function. (Lesson 1-7)

Step-by-Step Solution

Answer

The given relation is a function.

Step 1. State the concept.

A function is a relation in which each element of the domain is paired with exactly one element of the range. In a function, there is exactly one output (element of range) for each input (element of domain).

Step 2. List the given data.

The relation, written in ordered pair format is: $\left\{\left(17,6\right),\left(18,6\right),\left(19,5\right),\left(20,4\right)\right\}$

Step 3. Check for function.

In the given relation, it can be seen that each element of the domain is paired with exactly one element of the range. This satisfies the definition of a function.

 

Thus, the given relation is a function.