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[tex]f(6) = - 2[/tex]

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Polynomial mixing with Modulus. First time to see this in my life.

So from the graph it must be even-degree polynomial. It must be 4-degree polynomial judging from the x-intercepts.

There's a fraction/decimal as roots so...  Just look from the graph.

When x = 6 or f(6), y = -2 as shown in the graph.

So f(6) = -2