Question: Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x 4 + x 6

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4+ x 6=0,(1,2) f(x)= x4+ x 6 is ---Select--- defined continuous negative positive on the closed interval [1,2], f(1)=, and f(2)=. Since 4<?0<12, there is a number c in (1,2) such that f(c)=?-4012 by the Intermediate Value Theorem. Thus, there is a ---Select--- root discontinuity limit of the equation x4+ x 6=0 in the interval (1,2).

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