Chapter 1.1, Problem 3CFU

To determine

To describe:whether the graph represents a function or not, by using vertical line test.

Answer to Problem 3CFU

This graph is not a function as there are two different value of yat $x=-2$ . So, it fails a vertical line test.

Explanation of Solution

Given information: The given graph relation is as follows:

  

Calculation:

The(x,y) coordinates depicted in the graph are $\left(1,1\right),\left(1,-2\right),\left(2,-2\right),\left(3,-3\right),\left(-1,-1\right),\left(-2,-1\right)$ and $\left(-2,1\right)$ .

In a vertical line test, there is one value of yat a particular value of x. If the vertical line test is passed then the graph is a function.

Let’s state the table value of the relation given in the graph as follows:

x	-2	-2	-1	1	1	2	3
y	1	-1	-1	1	-2	-2	-3

Since there are two different value of yat$x=-2$ . So, it fails a vertical line test and hence this graph is not a function.