Let f(x)=\{\table x^3-x^2+10 x-7, , x \leq 1 ; -2 x+\log _2(b^2-4), , x > 1.. Then the set of all values of b, for which f(x) has maximum value at x=1, is : [26-Jul-2022-Shift-1]

Correct Answer is : [−6,−2)∪(2,6]

[-\sqrt{6},-2) \cup(2, \sqrt{6}]

JEE Mains 26-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

Let f(x)={

x3−x2+10x−7	‌	x≤1
−2x+log2(b2−4)	‌	x>1.

.
Then the set of all values of b, for which f(x) has maximum value at x=1, is :

[26-Jul-2022-Shift-1]

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