I need help with this please! I want someone to go through the steps with me, not tell me the answer. Thanks~! ^_^

The graph of a function f(x) is shown below:

graph of line segment with endpoints at negative two, negative one and three, three. The negative two, negative one endpoint is open and the three, three endpoint is closed.

What is the domain of f(x)?

Question

I need help with this please! I want someone to go through the steps with me, not tell me the answer. Thanks~! ^_^

The graph of a function f(x) is shown below:

graph of line segment with endpoints at negative two, negative one and three, three. The negative two, negative one endpoint is open and the three, three endpoint is closed.

What is the domain of f(x)?

yato_gami · Answer

This is the graph

3mar · Answer

"Domain is the set of points\values that related to the independent variable (x) which make the function\equation defined!"

yato_gami · Answer

Ok so, what would we do?

yato_gami · Answer

How would we find the domain of f(x)?

3mar · Answer

What are the values of x that the function is defined at them?

yato_gami · Answer

What does the "hollow" and "solid" mean? And why is the -2 not part of it?

3mar · Answer

- Hollow Point: means that this point is not included in the domain as it makes the function is not defined at it!

- Solid Point: it makes the function defined at it and included in the domain.

3mar · Answer

"why is the $x=-2$ not part of it?"
because it is not solid ... the function is not defined at it...
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