Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

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.


  1. y = \ V x 8. y=Vx + 2
    11. y


Se e Pr o b l em 1.


  1. y = 3
    13. y = fV^418 -x


2.7 V x + 2 + 11


  1. y = V3x + 9 - 6


Make a table of values and graph each function.


  1. y=V2x 17. /(x) = 4Vx

  2. y=V3x 20./(x) = 3Vx

  3. f{x) = |Vx 23. y =

  4. y = Vx - 7

  5. y = V4x - 13

  6. y = V3(x - 4)




  1. y = V 4 x - 8

  2. y = —3 Vx

  3. y = 2 Vx — 3


Se e Pr o b l em 2.


  1. 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.


  1. y = Vx + 4 27. y = Vx — 2 28. y= Vx+ 4


See Pr o b l em s 3 an d 4.


  1. y = Vx - 2


Q Apply


Graph each function by translating the graph of y = V x.
30.y=Vr + 5 31.y=Vx-5


  1. y = V x + 2 34. fix) = Vx - 5

  2. y=Vx+l 3 7. y = Vx + 1

  3. What are the domain and the range of the function y = V2x — 8?

  4. 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
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