Question

How do you find the domain and range of `k(x)=9`?

Answer 1

Determine all possible values the function can have. In this case, it is `"D": {x inRR}` and `"R": {y inRR | 9}`.

Explanation:

This is a linear function; a straight line.

In addition, this is a horizontal straight line. I know this because the degree is `1`, and there are no other variables.

Domain and range are sets of all possible values the function can have (may not be at the same time).

Because the function is a straight line at the `(x,9)`, the domain is limitless unless context is given to restrict the function. The range however, is only at `(x,9)`.

Therefore, the domain and range are:

`"D": {x inRR}`
`"R": {y inRR | 9}`

Unfortunately, Socratic cannot graph functions of horizontal/vertical straight lines... but just imagine a horizontal straight line at the `(x, 9)`.

Hope this helps :)