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# sir, please sketch the graph of the following function.....y=[log2x] for 1/2 <=x<=4

Grade:11

## 1 Answers

Badiuddin askIITians.ismu Expert
147 Points
10 years ago

Dear samridhi

y=[log2x]     for 1/2 x4

for find out the critical point of the function where it cross the intiger point

x =1/2 ,1,2,4

these are the critical point

1 . at x=1/2

y = [log21/2]

=-1

2. for 1/2<x <1

-1<log2x <0

and   [log2x]=-1

3 . for  1 x<2

0log2x <1

and   [log2x]=0

4 . for  2 x<4

1  log2x <2

and   [log2x]=1

5 at x=4

log2x =2

and [log2x] =2

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