Exercise 2.3.6
The zeros are \(- 2, - 1, 1\) and \(3\). The zeros \(-2, 1\) and \(3\) are transitive zeros, while \(-1\) is intransitive. Since the leading coefficient is negative, the graph lies below the \(x\)-axis on the interval \(( 3, \infty )\). The graph crosses the \(x\)-axis at \(3, 1\) and \(- 2\), but at \(- 1\), it touches the \(x\)-axis, but does not cross.
