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Question
Select the correct graph of the function f(x)=[x], where [.] represents the greatest integer function.
Select the correct graph of the function f(x)=[x], where [.] represents the greatest integer function.
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Solution
The correct option is C
For any real number x and n∈I such that n≤x<n+1⇒[x]=n.
xy=[x]......[−3,−2)−3[−2,−1)−2[−1,0)−1[0,1)0[1,2)1[2,3)2[3,4)3......
Now, we can draw the graph as:
For any real number x and n∈I such that n≤x<n+1⇒[x]=n.
xy=[x]......[−3,−2)−3[−2,−1)−2[−1,0)−1[0,1)0[1,2)1[2,3)2[3,4)3......
Now, we can draw the graph as:
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