Consider the following function. (If an answer does not exist,enter DNE.) f(x) = x2 + 5 ? x
(a) Find the vertical asymptote(s). (Enter your answers as acomma-separated list.)
x =
Find the horizontal asymptote(s). (Enter your answers as acomma-separated list.)
y =
(b) Find the interval where the function is increasing. (Enter youranswer using interval notation.
Find the interval where the function is decreasing. (Enter youranswer using interval notation.)
(c) Find the local maximum and minimum values.
| local maximum value | |
| local minimum value | |
(d) Find the interval where the function is concave up. (Enter youranswer using interval notation.)
Find the interval where the function is concave down. (Enter youranswer using interval notation.)
Find the inflection point.
(x, y) =
(e) Use the information from parts (a)-(d) to sketch the graphof f.
