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Question

If the function f:RR is defined by :
f(x)={x1 if x12 if x<1
Find the value of f(1).

A
2
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B
1
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C
0.0
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D
3
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Solution

The correct option is C 0.0
Given, f(x)={x1 if x12 if x<1
For a given value of x = a, find out the interval at which the point a is located, there after find f (a) using the particular value defined in that interval.

Here, 1 lies in the 1st interval. So for x = 1, f(x)=x1

f(1)=11 =0

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