Use theIntermediate Value Theoremto show that there is a root of the given equation in the specified interval.

x⁴+x9= 0,(1,2)

f(x) =x⁴+x9

is---Select---definedcontinuousnegativepositiveon the closed interval [1,2],f(1) =, andf(2) =.

Since7cin(1,2)such thatf(c) =?90-7

by the Intermediate Value Theorem. Thus, there is a---Select---limitdiscontinuityrootof the equationx⁴+x9= 0

in the interval (1,2).