Chapter 8.4B, Problem 26A

To determine

a.

To find:

Whether the relation $\left\{\begin{array}{l}\left(\text{Montana, Helena}\right)\text{, }\left(\text{Oregon, Salem}\right)\text{, (Illinois, Springfield),}\\ \left(\text{Arkansas, Little Rock}\right)\end{array}\right\}$ is function or not.

To determine

b.

To find:

Whether the relation $\left\{\begin{array}{l}\left(\text{Pennsylvania, Philadelphia}\right)\text{, }\left(\text{New York, Albany}\right)\text{,}\\ \left(\text{New York, Niagara Falls}\right)\text{, }\left(\text{Florida, Ft}\text{. Lauderdale}\right)\end{array}\right\}$ is function or not.

To determine

c.

To find:

Whether the relation $\left\{\begin{array}{l}\left(x,y\right)|x\text{resides in Birmingham, Alabama, and }x\text{is the mother of}y\text{,}\\ \text{ where }y\text{is a U}\text{.S}\text{. resident}\end{array}\right\}$ is function or not.

To determine

d.

To find:

Whether the relation $\left\{\left(1,1\right),\left(2,4\right),\left(3,9\right),\left(4,16\right)\right\}$ is function or not.

To determine

e.

To find:

Whether the relation $\left\{\left(x,y\right)|x\text{and }y\text{are}\text{natural numbers and }x+y\text{is an even number}\right\}$ is function or not.