Chapter 8.1, Problem 2CYP

To determine

To calculate: To determine whether the graph is a function

Answer to Problem 2CYP

The graph is NOT a function

Explanation of Solution

Given information: Graph is

  

Formula Used:

A set of ordered pairs is a function when no two different ordered pairs have the same x-coordinate,

Calculation:

Graph is given as follows:

  

From the graph, points on graph are as follows:

  $\left(0,1\right),\left(2,1\right),\left(2,3\right),\left(4,3\right),\left(4,5\right),\left(6,5\right),\left(6,7\right),\left(8,7\right)$

Set of ordered pairs is given as follows:

  $\left\{\left(0,1\right),\left(2,1\right),\left(2,3\right),\left(4,3\right),\left(4,5\right),\left(6,5\right),\left(6,7\right),\left(8,7\right)\right\}$

There are $8$ ordered pairs in the set.

Consider the ordered pairs $\left(2,1\right),\left(2,3\right)$

Here, x-coordinate is $2$

Since the x-coordinate is same for two ordered pairs in the set

Thus, the set of ordered pairs is not a function

Conclusion:

Hence, graph is NOT a function.