Let 0 ≤ a ≤ x ≤ 100 0 \leq a \leq x \leq 100 0 ≤ a ≤ x ≤ 100 and f ( x ) = ∣ x − a ∣ + ∣ x − 100 ∣ + ∣ x − ( a + 50 ) ∣ . f(x) = |x - a| + |x - 100| +...

CAT Medium Functions MCQ

Question

Let

0 \leq a \leq x \leq 100

and

f(x) = |x - a| + |x - 100| + |x - (a + 50)|.

Then the maximum value of

f(x)

becomes 100 when

a

is equal to:

100

absolute valueoptimizationlogical reasoningcat 2022

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