Question:
If the function f:(-∞,∞)→ B defined by f(x)=-x²+6x-8 is bijective, then B=
If the function f:(-∞,∞)→ B defined by f(x)=-x²+6x-8 is bijective, then B=
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Complete the square to find range of quadratic.
Updated On: Mar 17, 2026
- [1,∞)
- (-∞,1]
- (-∞,∞)
- None of these
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The Correct Option is B
Solution and Explanation
f(x)=-(x²-6x+8)=-(x-3)²+1
Maximum value is 1 at x=3.
Range is (-∞,1].
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