Let f (x) = x m/n for x ∈ R where m and n are integers, m even and n odd and 0 < m < n…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let f (x) = xm/n for x ∈ R where m and n are integers, m even and n odd and 0 < m < n. Then
- f (x) decreases on (–∞, 0]
- f (x) increases on [0, ∞)
- f (x) increases on (–∞, 0]
- f (x) decreases on [0, ∞)
Answer
(A) f (x) decreases on (– ∞ , 0], (B) f (x) increases on [0, ∞ )
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