30
Chapter 1 | Functions and Graphs
23. f ( x ) =3 x −6 x
8. f ( x ) =4 x 2 −3 x +1
y
x y
9. f ( x ) = 2 x 10. f ( x ) = | x −7| +8 11. f ( x ) = 6 x +5 12. f ( x ) = x −2 3 x +7 13. f ( x ) =9
−3 −15 1
−3
−2 −12 2
0
−1 −9
3
3
0
−6
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. 14. f ( x ) = x x 2 −16 15. g ( x ) = 8 x −1
24. f ( x ) = 1 2
x +1 x
y
x y
3 2
− 1 2
−3
1
16. h ( x ) = 3 x 2 +4 17. f ( x ) =−1+ x +2
−2 0
2
2
5 2
1 2
18. f ( x ) = 1
−1
3
x −9
19. g ( x ) = 3 x −4 20. f ( x ) =4 | x +5 |
0
1
25. f ( x ) =2| x |
21. g ( x ) = 7
x −5 For the following exercises, set up a table to sketch the graph of each function using the following values: x = −3, −2, −1, 0, 1, 2, 3. 22. f ( x ) = x 2 +1 x y x y
y
x
x y
−3 6
1
2
−2 4
2
4
−1 2
3
6
−3 10 1
2
0
0
−2 5
2
5
−1 2
3
10
0
1
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