CAT 2018 Functions Question (Medium)

Question

Let f x min 2x2, 52 - 5x , where x is any positive real number. Then the maximum possible value of f x is TITA

Accepted Answer

Step 1 Understand the functions We are given two expressions 1 2x This is an increasing function. 2 52 - 5x This is a decreasing function. Since f x min 2x , 52 - 5x , the minimum value will Increase initially Reach a maximum at the point where both expressions are equal Then start decreasing. Hence

CAT 2018

Quantitative

Functions

Medium

Let f(x)=min{2x2, 52 - 5x}, where x is any positive real number. Then the maximum possible value of f(x) is [TITA]

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