Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the domain of each function.

7. y = 1 2 x y equals , 1 half , square root of x
8. y = x + 2 y equals square root of x plus 2
9. y = x − 7 y equals , square root of x minus 7 end root
10. y = 3 x 3 y equals 3 , square root of x over 3 end root
11. y = 2.7 x + 2 + 11 y equals 2.7 . square root of x plus 2 end root , plus 11
12. y = 4 x − 13 y equals . square root of 4 x minus 13 end root
13. y = 4 7 18 − x y equals , 4 sevenths . square root of 18 minus x end root
14. y = 3 x + 9 − 6 y equals . square root of 3 x plus 9 end root . minus 6
15. y = 3 ( x − 4 ) y equals . square root of 3 open x minus 4 close end root

See Problem 2.

Make a table of values and graph each function.

16. y = 2 x y equals , square root of 2 x end root
17. f ( x ) = 4 x f open x close equals 4 square root of x
18. y = 4 x − 8 y equals . square root of 4 x minus 8 end root
19. y = 3 x y equals , square root of 3 x end root
20. f ( x ) = 3 x f open x close equals 3 square root of x
21. y = − 3 x y equals negative 3 square root of x
22. f ( x ) = 1 3 x f open x close equals , 1 third , square root of x
23. y = x 2 y equals , square root of x over 2 end root
24. y = 2 x − 3 y equals 2 , square root of x minus 3 end root
25. Physics The function v = 19.6 h v equals , square root of 19.6 , h end root  models an object's velocity v in meters per second after it has fallen h meters, ignoring the effects of air resistance. Make a table and graph the function. For what values of h will the object's velocity be more than 10 m/s?

See Problems 3 and 4.

Match each function with its graph.

Graph each function by translating the graph of y = x . y equals square root of x .

30. y = x + 5 y equals square root of x plus 5
31. y = x − 5 y equals square root of x minus 5
32. y = x − 1 y equals square root of x minus 1
33. y = x + 2 y equals , square root of x plus 2 end root
34. f ( x ) = x − 5 f open x close equals , square root of x minus 5 end root
35. f ( x ) = x − 4 f open x close equals , square root of x minus 4 end root
36. y = x + 1 y equals square root of x plus 1
37. y = x + 1 y equals , square root of x plus 1 end root
38. y = x − 1 y equals , square root of x minus 1 end root

B Apply

39. What are the domain and the range of the function y = 2 x − 8 ? y equals . square root of 2 x minus 8 end root . question mark
40. What are the domain and the range of the function y = 8 − 2 x ? y equals . square root of 8 minus 2 x end root . question mark

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