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algebra II Topic 1 Review

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    Functions
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  • What is the domain of the given graph? (In interval notation)
    [-3,3]
  •  15
  • What is the range of the given graph? (In interval notation)
    [-2,2]
  •  15
  • List all the x-intercepts.
    0,2.5
  •  15
  • Identify the interval where the graph is negative. (In interval notation)
    (0,2.5)
  •  20
  • Identify the interval where the graph is positive. (In interval notation)
    (-3,0)U(2.5,3)
  •  20
  • Find the average rate of change on the interval [0,2].
    -1
  •  20
  • On the interval [2,3], the graph is (increasing, decreasing, or constant)?
    increasing
  •  10
  • Find the first four terms of the sequence as defined.
    3,-2,-7,-12
  •  20
  • Is the following an arithmetic sequence? 1,2,4,8,16,...
    No
  •  10
  • Is the following an arithmetic sequence? 1.9, 1.8, 1.7, 1.6...
    Yes
  •  10
  • What explicit definition (formula) matches the following?
    an=3-5(n-1)
  •  15
  • Find the solution(s) to the following using a graphing calc. (Round to nearest tenth) x^2-2x-2=-|x-1|+2
    -0.8, 2.8
  •  20
  • Solve the following system of equations.
    (1,2)
  •  25
  • What is the vertex of y=|x-2|+1?
    (2,1)
  •  15
  • Describe the transformations of y=|x-2|+1 from the parent function y=|x|.
    2 to the right, 1 up.
  •  15
  • Write the piecewise function to match the graph.
    (5/4)x+13/4 if -4<=x<-1, 2 if -1<=x<3, -2 if 3<=x<=4
  •  25