CBSE Class 12-science Answered
The maximum and the minimum values, if any of the following functions
f (x) = –| x – 1 | + 5 for all 
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
We have
f (x) = –|x – 1| + 5 for all 
Now,
for all 
for all 
for all f (x) 
5 for all So, 5 is the maximum value of f (x)
Now,
f (x) = 5 
– |x –1|+ 5 = 5 |x – 1|
– |x –1|+ 5 = 5 |x – 1|= 0 x = 1
x = 1Thus f (x) attains the maximum value 5 at
x = 1
Since f (x) can be made as small as we please therefore the minimum value of f (x) does not exist
Answered by | 04 Jun, 2014, 03:23: PM
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ANSWERED BY EXPERTCBSE 12-science - Maths
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