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What is the maximum value of the function $f(x) = 2x^{2} – 2x + 6$ in the interval $[0,2]?$

  1. $6$
  2. $10$
  3. $12$
  4. $5,5$
in Calculus retagged by
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First derivative test to find critical points. Then applying second derivative test to find maxima/minima. 

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1 Answer

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f(x)=2x^2-2x+6 [0,2] means x=0,1,2

f(1)=2-2+6=6

f(0)=0-0+6=6

f(2)=8-4+6=10

maximum value =10

option B
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