College Algebra, 4th Edition

Building Skills

1. 9. Domain: {a, b, c}; range: {d, e}; function

2. 11. Domain; {a, b, c}; range: $\{1,2\};$ function

3. 13. Domain: $\{0,3,8\};$ range: $\{-3,-2,-1,1,2\};$ not a function

4. 15. Yes

5. 17. Yes

6. 19. No

7. 21. Yes

8. 23. Yes

9. 25. No

10. 27. Yes

11. 29. $f(0)=1,g(0)$ is not defined, $h(0)=\sqrt{2},f(a)=a^2-3a+1,f(-x)=x^2+3x+1$

12. 31. $f(-1)=5,g(-1)$ is not defined, $h(-1)=\sqrt{3},h(c)=\sqrt{2-c},h(-x)=\sqrt{2+x}$

13. 33.

    1. 0

    2. ${\displaystyle \frac{2\sqrt{3}}{3}}$

    3. Not defined

    4. Not defined

    5. ${\displaystyle \frac{-2x}{\sqrt{4-x^2}}}$

14. 35. 9

15. 37. $(-\infty ,\infty )$

16. 39. $(-\infty ,9)\cup (9,\infty )$

17. 41. $(-\infty ,-1)\cup (-1,1)\cup (1,\infty )$

18. 43. $[3,\infty )$

19. 45. $(-\infty ,-2)\cup (-2,-1)\cup (-1,\infty )$

20. 47. $(-\infty ,0)\cup (0,\infty )$

21. 49. Yes

22. 51. Yes

23. 53. No

24. 55. $f(-4)=-2,f(-1)=1,f(3)=5,f(5)=7$

25. 57. $h(-2)=-5,h(-1)=4,h(0)=3,h(1)=4$

26. 59. $x=-2\text{ or }3$

27. 61.

    1. No

    2. $x=-1\pm \sqrt{3}$

    3. 5

    4. $x=-1\pm {\displaystyle \frac{1}{2}}\sqrt{14}$

28. 63. Domain: $[-3,2];$ range: $[-3,3]$

29. 65. Domain: $[-4,\infty );$ range: $[-2,3]$

30. 67. Domain: ...