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Romashka-Z-Leto [24]
3 years ago
7

Identify intervals on which the function is increasing, decreasing, or constant.

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C.   increasing, x < 7; decreasing x > 7.
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