Question

Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.

Answer 1

Answer:

• See the graph attached.

Explanation:

The relations of the two graphs on the left are not functions; the relations of the two graphs of the right are functions.

A relation is a function if and only if any input in the domain (x-value) has only one output (y-value).

On the upper left graph, x = 2 has three different images, and x = 3 has two different images. Thus this is not a function.

On the lower left graph, x = 2 has two different images, such as x = 1 and x = -1. Thus this is not a function.

The two graphs on the right are functions because none x-value has two different images.

Answer 2

Answer:

The relations of the two graphs on the left are not functions; the relations of the two graphs of the right are functions.

A relation is a function if and only if any input in the domain (x-value) has only one output (y-value).

On the upper left graph, x = 2 has three different images, and x = 3 has two different images. Thus this is not a function.

On the lower left graph, x = 2 has two different images, such as x = 1 and x = -1. Thus this is not a function.

The two graphs on the right are functions because none x-value has two different images.

Step-by-step explanation: