Let f (x) = [ array ll x^ 3 -x^ 2 +10 x-5, & x 1 -2 x+ _ 2 (b^ 2 -2 ), & x>1 array . the…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let f (x) = \[\left[\begin{array}{ll}
x^{3}-x^{2}+10 x-5, & x \leq 1 \\
-2 x+\log _{2}\left(b^{2}-2\right), & x>1
\end{array}\right.\] the set of values of b for which f (x) have greatest value at x = 1 is given by :
- 1 ≤ b ≤ 2
- b = {1, 2}
- b ∈ (–∞, –1)
- \([-\sqrt{130},-\sqrt{2}) \cup(\sqrt{2}, \sqrt{130}]\)
Answer
(D) [- 130 ,- 2 ) ( 2 , 130 ]
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