Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.x^{4}+x− 9 = 0, (1, 2)

f(x) =x^{4}+x− 9

is ___________on the closed interval [1, 2],f(1) = _________, andf(2) = _____________.

Since −7 < _________ < 9, there is a numberc in(1, 2)such thatf(c) =____________

by the Intermediate Value Theorem. Thus, there is a______________of the equationx^{4}+ x − 9 =in the interval (1,2).

What is the intermediate value theorem?