Question

The critical points \[x=-2\] and \[x=3\] divide the real line into which three intervals?

Options

• \[(-\infty,-3),(-3,2),(2,\infty)\]

• \[(-\infty,-2),(-2,3),(3,\infty)\]

• \[(-\infty,3),(3,\infty)\]

• \[(-\infty,-2),(-2,\infty)\]

Answer 1

The two critical points split the real line at \[-2\] and \[3\]. Therefore the three intervals are \[(-\infty,-2)\], \[(-2,3)\], and \[(3,\infty)\].