Chapter 2.2, Problem 42PE

For Exercises 41-42, a table of values is given for ${\text{Y}}_{\text{1}}=f\left(x\right).$ Determine whether the intermediate value theorem guarantees that the function has a zero on the given interval.

${\text{Y}}_1=10x^4+21x^3-119x^2-147x+343$

$\begin{array}{l}\text{a}\text{. }\left[-4,-3\right]\\ \text{b}\text{. }\left[-3,-2\right]\\ \text{c}\text{. }\left[-2,-1\right]\\ \text{d}\text{. }\left[-1,0\right]\end{array}$