Question

For my review assignment I am supposed to figure out if these 3 represents a function. I am confused and do not know what to do.

Answer 1

• Graph 1-Yes

,

• Graph 2-Yes

,

• Graph 3-No

Step-by-step explanation:

Given a graph, to determine whether or not it is a function by using the vertical line test.

That is, when you draw a vertical line, it must not touch two points on the graph.

This is demonstrated in the graphs below:

0. In Graph 1, the vertical line touches only 1 point, therefore, ,it represents a function,. In fact, it is a parabola.

,

1. In Graph 2, the vertical line touches only 1 point, therefore, ,it represents a function.

,

2. In Graph 3, the vertical line touches more than 1 point, therefore, ,it does not represent a function.