Q:

What is the domain of the function on the graph?A.) all real numbersB.) all real numbers greater than or equal to 0C.) all real numbers greater than or equal to –2D.) all real numbers greater than or equal to –3

Accepted Solution

A:
Go to the left-most point on the graph. That point is (-3,-2). The x coordinate of this point is x = -3.

So the smallest x can be is x = -3. The variable x can't be any smaller. It can be larger than -3.

Since x can equal -3 or be larger, this makes the domain to be [tex]x \ge -3[/tex] (x is greater than or equal to -3)

In interval notation, you would write [tex][-3, \infty)[/tex]
The square bracket tells you to include the endpoint -3 while the curved parenthesis tells you to exclude infinity as an endpoint. Plus or minus infinity is always associated with a curved parenthesis.

In short, the answer is choice D