It's so simple to find the range. Ain't it?

Algebra Level 4

Let f(x)=(x+1)(x+2)(x+3)(x+4)+5 f(x) = (x+1)(x+2)(x+3)(x+4) + 5 , where x[6,6] x \in [-6, 6 ] .

If the range of the function is [a,b] [ a, b ] , what is the value of ba b - a ?

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