Question:medium

If \( f(x) = \begin{cases} \sin\left(\frac{\pi x}{2}\right), & x<1 \\ 3 - 2x, & x \ge 1 \end{cases} \), then \( f(x) \) has:

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Local maximum if function increases before and decreases after the point.

Updated On: Apr 16, 2026

local minimum at \(x=1\)
local maximum at \(x=1\)
Both local maximum and local minimum at \(x=1\)
None of the above

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The Correct Option is B

Solution and Explanation

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If \( f(x) = \begin{cases} \sin\left(\frac{\pi x}{2}\right), & x<1 \\ 3 - 2x, & x \ge 1 \end{cases} \), then \( f(x) \) has:

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The Correct Option is B

Solution and Explanation

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