Page 139.

1. Critical points: \( x=5 \) (local max), \( x=4.5 \) (local min), \( x=5 \) (local max), \( x=7 \) (local min), \( x=9.5 \) (local max), \( x=10 \) (local min). Global max at \( x=13. \) Global min at \(x=7. \)
2. Critical points: \( x=2 \) (local min), \( x=3 \) (neither), \(x=5 \) (local max), \(x=8 \) (local min), \(x=11\) (local max). Global max at \(x=0\) and \(x=5.\) Global min at \(x=8.\)
3. Critical point at \(x=-4\) (local minimum).
4. Critical point at \(x=3\) (local minimum).
5. Critical points at \(x = 0\) (local maximum) and \(x=4\) (local maximum).
6. Critical points at \(x=1\) (local maximum) and \(x=7/3\) (local minimum).
7. Critical point at \(x=3\) (local minimum).
8. Critical points at \(x=-4\) (local minimum) and \(x=4\) (local maximum).
9. Critical point at \(x=3\) (global minimum). No global maximum.
10. Critical point at \(x=0\). No global minimum or global maximum.
11. Critical points at \(x=\pm 1\). No global minimum or global maximum.
12. Critical point at \(x=0\) (global maximum). No global minimum.
13. Critical point at \(x=3\) (global minimum). Global maximum at \(x=-2\).
14. Critical point at \(x=0\). Global maximum at \(x=-2\). Global minimum at \(x=1\).
15. Critical points at \(x = -1 \) (global maximum) and \(x=1\) (global minimum). There is another global minimum at \(x=-2.\)
16. Critical point at \(x=0\). Global maximum at \(x=1\). Global minimum at \(x=2.\)
17. a) local minimum. b) nothing. c) local maximum. d) nothing.

22. \(x=0\) is a local maximum, \(x=5\) is a local minimum.
23. \(x=-1\) is a local maximum, \(x=3\) is a local minimum.
24. \(x=\pm 2\) are local minima, \(x=0\) is a local maximum.