Determine the domain and range of the following relations using set builder notation.

Question

I am just beginning to learn the whole concept of set builder notation, and I am running into a little confusion. I understand the x and y axis, as well as the form it is written in. I don't understand how to find the domain and range of these specific questions. I do understand that the domain is x and the range is y.

So in question a above, would the domain be -3, 4? And then {x|−3<x<4,x∈R}?

Then, for a question such as c, would I take the domain of (-3, 4) and the range of (-3, 3)?

IN question a, the line is in a hill shape and the first point is -3,-2 and then the line touches at the top 4, then the second point is 4, -2.

In question c the lines first point is -3,-3 and second is 4,3. 

Sorry I did not realize you could not post pictures. Any guidance with set builder notation would be greatly appreciated!

thanks!

Answer 1

For the question in the second paragraph:

 

{x | x = -3 or x = 4}   

No need for the x ∈ ℜ, that is assumed.