Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f(x) be a function defined by
f(x) = 
, 1 ≤ x ≤ 4. Then the
A
Maximum value of f(x) is 
B
Maximum value of f(x) is 
C
Minimum value of f(x) is 
D
Minimum value of f(x) is 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b,d)
Differentiating the given function, we
f '(x) = x(x – 1)(x – 2) = 0. Clearly, the function has its minimum value at x = 2, that is
f min = 
= 
= 
When x = 1, f(1) = 0
When x = 4, f(4) = 
= 
= 
Hence, the range of f(x) is 
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