Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4 + x − 7 = 0, (1, 2) f(x) = x4 + x − 7 is ---Select--- on the closed interval [1, 2], f(1) = , and f(2) = . Since −5 < ? < 11, there is a number c in (1, 2) such that f(c) = ? by the Intermediate Value Theorem. Thus, there is a ---Select--- of the equation x4 + x − 7 = 0 in the interval (1, 2).