What is the largest domain and corresponding range of each function?

Question

y1(x) = 1/ square root of 9 - x2
y2(x) = x^3 + x / x - 2

Describe all the asymptotes (horizontal, oblique or verticals) to these graphs?

Sketch each graph

Answer 1

y1 domain -3 x=+-3 asymptotes

y2 domain all real numbers not = 2
range all real numbers
x=2 asymptote