Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses
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MATHEMATICAL
PRACTICES
© Practice Find the domain of each function.
- y = \ V x 8. y=Vx + 2
11. y
Se e Pr o b l em 1.
- y = 3
13. y = fV^418 -x
2.7 V x + 2 + 11
- y = V3x + 9 - 6
Make a table of values and graph each function.
- y=V2x 17. /(x) = 4Vx
- y=V3x 20./(x) = 3Vx
- f{x) = |Vx 23. y =
- y = Vx - 7
- y = V4x - 13
- y = V3(x - 4)
♦
- y = V 4 x - 8
- y = —3 Vx
- y = 2 Vx — 3
Se e Pr o b l em 2.
- Physics The function v = Vl9.6/i 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?
Match each function with its graph.
- y = Vx + 4 27. y = Vx — 2 28. y= Vx+ 4
See Pr o b l em s 3 an d 4.
- y = Vx - 2
Q Apply
Graph each function by translating the graph of y = V x.
30.y=Vr + 5 31.y=Vx-5
- y = V x + 2 34. fix) = Vx - 5
- y=Vx+l 3 7. y = Vx + 1
- What are the domain and the range of the function y = V2x — 8?
- What are the domain and the range of the function y = V 8 - 2x?
32. y = V x — 1
35. f{x) = vV3!
38. y = Vx - 1
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642 Ch ap t er 10 Rad i cal Exp r essi o n s an d Eq u at i o n s