# Thread: long problem (critical values, inflection points...)

1. ## long problem (critical values, inflection points...)

(A) Find all critical values of , compute their average, and enter it below.
Note: If there are no critical values, enter -1000.
Average of critical values =
(B) Use interval notation to indicate where is increasing.

Note: Enter 'I' for , '-I' for , and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.
Increasing:

(C) Use interval notation to indicate where is decreasing.
Decreasing:

(D) Find the -coordinates of all local maxima of , compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.
Average of values =

(E) Find the -coordinates of all local minima of , compute their average, and enter it below.
Note: If there are no local minima, enter -1000.
Average of values =

(F) Use interval notation to indicate where is concave up.
Concave up:

(G) Use interval notation to indicate where is concave down.
Concave down:

(H) Find all inflection points of , compute their average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =

(I) Find all horizontal asymptotes of , compute the average of the values, and enter it below.
Note: If there are no horizontal asymptotes, enter -1000.
Average of horizontal asymptotes =

(J) Find all vertical asymptotes of , compute the average of the values, and enter it below.
Note: If there are no vertical asymptotes, enter -1000.
Average of vertical asymptotes =

2. Originally Posted by tbenne3

(A) Find all critical values of , compute their average, and enter it below.
Note: If there are no critical values, enter -1000.
Average of critical values =
(B) Use interval notation to indicate where is increasing.

Note: Enter 'I' for , '-I' for , and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.
Increasing:

(C) Use interval notation to indicate where is decreasing.
Decreasing:

(D) Find the -coordinates of all local maxima of , compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.
Average of values =

(E) Find the -coordinates of all local minima of , compute their average, and enter it below.
Note: If there are no local minima, enter -1000.
Average of values =

(F) Use interval notation to indicate where is concave up.
Concave up:

(G) Use interval notation to indicate where is concave down.
Concave down:

(H) Find all inflection points of , compute their average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =

(I) Find all horizontal asymptotes of , compute the average of the values, and enter it below.
Note: If there are no horizontal asymptotes, enter -1000.
Average of horizontal asymptotes =

(J) Find all vertical asymptotes of , compute the average of the values, and enter it below.
Note: If there are no vertical asymptotes, enter -1000.
Average of vertical asymptotes =
a lengthy list of laundry ... what have you attempted/completed ?