What is the domain of the function on the graph?

A.) all real numbers
B.) all real numbers greater than or equal to 0
C.) all real numbers greater than or equal to –2
D.) all real numbers greater than or equal to –3

What is the domain of the function on the graph A all real numbers B all real numbers greater than or equal to 0 C all real numbers greater than or equal to 2 D class=

Respuesta :

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

Answer:   D.

Step-by-step explanation:

The line starts at -3 and infinitely goes on after that.

hope this helped

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