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Grade 11Mechanics

What is the range of the following function : x2 +3x +9

Profile image of Devendra Verma
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 Years ago
If we convert it into a square.
x2 +3x +9
x^2 + 2*3/2*x + 9/4 -9/4 +9
(x+ 3/2)^2 + (9-9/4)
(x+3/2)^2 +27/4
 
Hence Range will be [27/4, infinite)