Question

R is equal to y search by y is equal to X + x x is equal to 0 1 2 3 4 5 find domain and range​

Answer 1

Answer:

The domain of this function is \displaystyle{x}\ge-{4}x≥−4, since x cannot be less than \displaystyle-{4}−4. To see why, try out some numbers less than \displaystyle-{4}−4 (like \displaystyle-{5}−5 or \displaystyle-{10}−10) and some more than \displaystyle-{4}−4 (like \displaystyle-{2}−2 or \displaystyle{8}8) in your calculator. The only ones that "work" and give us an answer are the ones greater than or equal to \displaystyle-{4}−4. This will make the number under the square root positive.

Notes:

The enclosed (colored-in) circle on the point \displaystyle{\left(-{4},{0}\right)}(−4,0). This indicates that the domain "starts" at this point.

We saw how to draw similar graphs in section 4, Graph of a Function. For a more advanced discussion, see also How to draw y^2 = x − 2.