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Question
What is the maximum value of the function f(x) = min (7 - 9x, 3x + 4) for 0 < x < 9?
Options:
A .  234
B .  785
C .  194
D .  383
E .  8
Answer: Option C
:
C
7- 9x is a decreasing function, while 3x +4 is an increasing function. The max of f(x) occurs
at the intersection of 7 - 9x and 3x + 4.
7- 9x = 3x + 4 x = 14
So, max f(x) = min (194,194) = 194

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