Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.\
$x^4 + x - 3 = 0$, $(1, 2)$\
$f(x) = x^4 + x - 3$ is ---Select--- on the closed interval $[1, 2]$, $f(1) = $ , and $f(2) = $. Since\
$-1 < ? < 15$, 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 $x^4 + x - 3 = 0$ in the interval $(1, 2)$.