Consider the following function. (If an answer does not exist,enter DNE.)
f(x) = 1 + (5/ x) - (2/ x^2)
(a) Find the vertical asymptote(s). (Enter your answers as acomma-separated list.)
Find the horizontal asymptote(s). (Enter your answers as acomma-separated list.)
(b) Find the interval where the function is increasing. (Enteryour answer using interval notation.) Find the interval where thefunction is decreasing. (Enter your answer using intervalnotation.)
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up. (Enteryour answer using interval notation.)
Find the interval where the function is concave down. (Enteryour answer using interval notation.)
Find the inflection point.
