The function \(f\) is defined by the given equation, where \(a\) and …

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f (x) = (x - a) (x - b)

The function

f

is defined by the given equation, where

a

and

b

are integer constants. If

f (32) > 0

f (35) < 0

, and

f (38) > 0

, which of the following could be the value of

a + b