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Flow of Control

The function could also be written: 

bool increasingOnIntegerRange(int f(int), 
                              int low, 
                              int high) {
    if ( low == high )
        return true;
    if ( f(low) < f(low+1) )
        return increasingOnIntegerRange(f, 
                                        low+1, 
                                        high);
    return false;
}

Q: Why can the else keyword be omitted?

A:

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