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  • Which of the following option represent y = max{x, } in <img alt="[0,\infty)" src="http://entrancecor

Which of the following option represent y = max{x, \sqrt x} in [0,\infty)

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)

best_answer

First draw both the graphs for x greater than or equal to 0

For x ∈ (0, 1), the graph of y =x lies below the graph of y = \sqrt x, i.e. x < \sqrt x

For x ∈ (1, ∞), the graph of y =\sqrt x lies below the graph of y = x, i.e. \sqrt x< x

Hence, correct option (1)

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Rishi

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