Homework-3: Problem 7\ (1 point)\ Let\

f(x)=2x^(4)(x-6)^(2)

\ (A) Use interval notation to indicate where

f(x)

is increasing.\ Note: Use 'INF' for

\\\\infty

, '-INF' for

-\\\\infty

, and use '

U

' for the union symbol.\ Increasing:\ (B) Use interval notation to indicate where

f(x)

is decreasing.\ Decreasing:\ (C) Find the average of the

x

vaues of all local maxima of

f

.\ Note: If there are no local maxima, enter -1000.\ Average of

x

values

=

\ (D) Find the average of the

x

values of all local minima of

f

.\ Note: If there are no local minima, enter -1000.\ Average of

x

values

=

f(x)=2x4(x6)2. (A) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for , '-INF' for , and use 'U' for the union symbol. Increasing: (B) Use interval notation to indicate where f(x) is decreasing. Decreasing: (C) Find the average of the x varues of all local maxima of f. Note: If there are no local maxima, enter -1000 . Average of x values = (D) Find the average of the x values of all local minima of f. Note: If there are no local minima, enter -1000