Engineering Board Exam Reviewer · Functions: Domain, Composition, and Inverses · medium

Find the range of f(x)=x2-6x+11.

1. y≥3
2. y≤2
3. y≥2
4. y≥11

Answer

C. y≥2

Solution

Complete the square: f(x)=(x-3)2+2. The minimum value is 2 at x=3, so the range is y≥2.

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