In: Math
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = ln(8 − ln(x))
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)
x =
Find the horizontal asymptote(s). (Enter your answers as a
comma-separated list.)
y =
(b) Find the interval where the function is increasing. (Enter your
answer using interval notation.
Find the interval where the function is decreasing. (Enter your
answer 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 your
answer using interval notation.
Find the interval where the function is concave down. (Enter your
answer using interval notation.)
Find the inflection point.
(x, y) =
(e) Use the information from parts (a)-(d) to sketch the graph of f.