Determine whether the statement is true or false, and explain why If P ' ( x ) 0 for every x on an interval, then f is negative on that interval Is the statement true or false A True The sign of f ' ( x ) corresponds to the sign of f on any given interval B False If f ' ( x ) 0 for every x on an interval, then f is increasing on that interval C False If f ' ( x ) 0 for every x on an interval, then f is positive on that interval D False If f ' ( x ) 0 for every x on an interval, then f is decreasing on that interval Determine whether the statement is true or false, and explain why If P ' ( x ) 0 for every x on an interval, then f is negative on that interval Is the statement true or false A True The sign of f ' ( x ) corresponds to the sign of f on any given interval B False If f ' ( x ) 0 for every x on an interval, then f is increasing on that interval C False If f ' ( x ) 0 for every x on an interval, then f is positive on that interval D False If f ' ( x ) 0 for every x on an interval, then f is decreasing on that interval Determine whether the statement is true or false, and explain why If P ' ( x ) 0 for every x on an interval, then f is negative on that interval Is the statement true or false A True The sign of f ' ( x ) corresponds to the sign of f on any given interval B False If f ' ( x ) 0 for every x on an interval, then f is increasing on that interval C False If f ' ( x ) 0 for every x on an interval, then f is positive on that interval D False If f ' ( x ) 0 for every x on an interval, then f is decreasing on that interval

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Question: Determine whether the statement is true or false, and explain why. If P ' ( x ) 0 for every x on an interval, then

Determine whether the statement is true or false, and explain why. If

P^{'} (x) 0

for every x on an interval, then f is negative on that interval.

Is the statement true or false?

.

True. The sign of

f^{'} (x)

corresponds to the sign of

f

on any given interval

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is increasing on that interval.

.

False. If

f^{'} (x) 0

for every x on an interval, then f is positive on that interval.

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is decreasing on that interval.Determine whether the statement is true or false, and explain why. If

P^{'} (x) 0

for every x on an interval, then f is negative on that interval.

Is the statement true or false?

.

True. The sign of

f^{'} (x)

corresponds to the sign of

f

on any given interval

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is increasing on that interval.

.

False. If

f^{'} (x) 0

for every x on an interval, then f is positive on that interval.

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is decreasing on that interval.Determine whether the statement is true or false, and explain why. If

P^{'} (x) 0

for every x on an interval, then f is negative on that interval.

Is the statement true or false?

.

True. The sign of

f^{'} (x)

corresponds to the sign of

f

on any given interval

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is increasing on that interval.

.

False. If

f^{'} (x) 0

for every x on an interval, then f is positive on that interval.

.

False. If

f^{'} (x) 0

for every

x

on an interval, then

f

is decreasing on that interval.

Determine whether the statement is true or false,

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