Question

List the domain and Range, and determine if it's a funtion or not

Answer 1

`\begin{gathered} \text{Domain = (-}\infty\text{, }\infty) \\ \text{Range = (-3, }\infty) \end{gathered}`

The graph is a function

Step-by-step explanation:

The domain are the x values of a function. They are the input of the function

From the graph, following the x axis:

The arrow on the line indicates it doesn't end.

As a result, it moves from negative infinity to positive infinity

`Domain\colon(-\infty,\text{ }\infty)`

Range are the y values of the function. They are the output of a function

From the graph, following the y axis:

the line starts from y = -3 towards the positive side of y axis.

Since there is an arrow on the line pointing upwards towards the y axis, it indicates positive infinity.

`\text{Range = (-3, }\infty)`

For it to be a function, the input will have only one output:

Each of the x values (input) gives only one y value (output)

The graph is a function