(b)
It can be observed that function tens to infinity for x = -2 and y = 5. So asymptote exist at x = -2 and y = 5.
(c)
The parent function f(x) = 1/x has asyptote at x = 0 and y = 0, but the drawn function has asymptote at x = -2 and at y = 5.
Tis means there is horizontal and vertical shift in the graph of parent function f(x).
The parent function is shifted 2 units left and 5 unit upwards. So equation of graph shown is,
[tex]y=\frac{1}{x+2}+5[/tex]
The graph of equation with asymptote is,
