Here's the graph : https://www.desmos.com/calculator/gvm2oy7mhe
a) Domain = [ 0, infinity )
b) Range = [ 0, infinity )
c) We cannot take the square root of a negative (it is not a real number)
d) We can only get 0 or a positive number out of a positive root
e) Avg rate of change = [ √ 16 - √ 1 ] / [ 16 - 1 ] = [ 4 - 1 ] / 15 = 3/15 = 1/5
f) the function is g(x) = √ ( x + a) + b