Question:

11. [-/0.8 Points) DETAILS MY NOTES ASK YOUR TEACHER Consider the following function. (If an answer does not exist, enter DNE.)

11. [-/0.8 Points) DETAILS
MY NOTES ASK YOUR TEACHER
Consider the following function. (If an answer does not exist, enter DNE.)
-2
f(x)
1 + x2
(a) Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answer using
interval notation. If an answer does not exist, enter DNE.)
Increasing:
Decreasing:
(b) Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comma-separated list. If an
answer does not exist, enter DNE.)
Relative maximum value(s):
Relative minimum value(s):
(c) Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval
notation. If an answer does not exist, enter DNE.)
Concave upward:
Concave downward:
(d) Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.)
(x,y) =
-(
(smaller x-value)
(x,y) =
-(
(larger x-value)

11. [-/0.8 Points) DETAILS MY NOTES ASK YOUR TEACHER Consider the following function. (If an answer does not exist, enter DNE.) -2 f(x) 1 + x2 (a) Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (b) Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative maximum value(s): Relative minimum value(s): (c) Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Concave upward: Concave downward: (d) Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.) (x,y) = -( (smaller x-value) (x,y) = -( (larger x-value)

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