Maths methods units 1/2 help.

[Billion]

I may need help from time to time, so I'll post questions here.
Firstly I need help with this question:

For each relation given, sketch its graph and state the domain and rage using interval notation.
{(x,y)]: y=2-x^2}

Also state the implied domain for this:
y= -√16-x^2

[Homer]

sketching is quite simple. just a normal quadratic graph, reflected in the x- axis and translated 2 units up.

domain is how far the graph goes from left to right and range is down to top.

for example y=2-x^2 would have a domain of R and range (-infinity, 2]

I am guessing you mean , well roots of negative aren't possible hence

[REBORN]

y = neg root(16-x^2)

because it's a sqroot, we have the condition that anything inside must be greater than or equal to zero; that is, you cannot square root a negative number.

solve 16 - x^2 >= 0 (graphically) and you'll obtain your domain!