Determine the increasing and decreasing
properties of the function
f(x) = (x - 5)\frac{2}{3}(x + 3)\frac{1}{3}
on its natural domain.
1. inc: \left(-3, -\frac{1}{3}\right), dec: \left(-\frac{1}{3}, \infty\right)
2. inc: \left(-\infty, -3\right) \cup \left(5, \infty\right), dec: \left(-3, 5\right)
3. inc: \left(-3, -\frac{1}{3}\right) \cup \left(5, \infty\right), dec: \left(-\frac{1}{3}, 5\right)
4. inc: \left(-\infty, -\frac{1}{3}\right) \cup \left(5, \infty\right), dec: \left(-\frac{1}{3}, 5\right)
5. inc: \left(-\frac{1}{3}, 5\right), dec: \left(-3, -\frac{1}{3}\right) \cup \left(5, \infty\right)