Chapter 4.6, Problem 2P

a.

To determine

whether the relation is a function.

Answer to Problem 2P

Relation is a function.

Explanation of Solution

Given information:

The data is givne in the form of ordered pairs. The oredered paira are:

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

Calculation:

The vertical line test is way to test the functionality of a relation.

For the some domain value if the range value is more than one, the relation is not a function.

The ordered pairs are plotted on the graph as follows:

  

From the graph, for the one domain value there is one range value. The given ordered pairs satisfy the conditions and therefore the relation is function.

b.

To determine

whether the relation is a function.

Answer to Problem 2P

Relation is not a function.

Explanation of Solution

Given information:

The data is givne in the form of ordered pairs. The oredered paira are:

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

Calculation:

The vertical line test is way to test the functionality of a relation.

For the some domain value if the range value is more than one, the relation is not a function.

The ordered pairs are plotted on the graph as follows:

  

From the graph, for the one domain value there is more than one range value. For the domain value $0$ there are two range values $2\text{and}-3$ . The given ordered pairs do not satisfy the conditions and therefore the relation is not a function.