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Class 11 Mathematics Relations and Functions Real-Valued Functions, Their Domain and RangeMedium

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What is the range of (f(x)=x^2-6x+11)?

Answer and explanation

Correct answer: ([2,\infty))

(x^2-6x+11=(x-3)^2+2), so the minimum is (2). In exams completing the square gives the range quickly.

Related tags

Real-Valued-Functions Range Quadratic-Function Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics Class 11 Mcq

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