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## Homework Statement

Specify the domain and range of f(x, y) = arccos(y − x

^{2}). Indicate whether the domain is (i)

open or closed, and (ii) bounded or unbounded. Give a clear reason in each case.

## Homework Equations

## The Attempt at a Solution

y-x

^{2}>= -1

y >= x

^{2}-1

y-x

^{2}<= 1

y <= x

^{2}+1

I sketched it and found the region to be in between the two parabolas

Range:

[-1;infinity)

Domain:

[1;infinity) U [-1;-infinity)

I don't know if those are correct but I got them from the sketch

I don't know what (i) and (ii) means