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algebra II Topic 1 Review
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Is 2.5|x| a vertical stretch or a vertical compression?
Vertical stretch
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
Describe the transformations of y=|x-2|+1 from the parent function y=|x|.
2 to the right, 1 up.
What is the vertex of y=|x-2|+1?
(2,1)
Solve the following system of equations.
(1,2)
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
What explicit definition (formula) matches the following?
an=3-5(n-1)
Is the following an arithmetic sequence? 1.9, 1.8, 1.7, 1.6...
Yes
Is the following an arithmetic sequence? 1,2,4,8,16,...
No
Find the first four terms of the sequence as defined.
3,-2,-7,-12
On the interval [2,3], the graph is (increasing, decreasing, or constant)?
increasing
Find the average rate of change on the interval [0,2].
-1
Identify the interval where the graph is positive. (In interval notation)
(-3,0)U(2.5,3)
Identify the interval where the graph is negative. (In interval notation)
(0,2.5)
List all the x-intercepts.
0,2.5
What is the range of the given graph? (In interval notation)
[-2,2]
What is the domain of the given graph? (In interval notation)
[-3,3]
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