radomes.openskiesproject.org
Gorditaa Gorditaa
  • 07-07-2014
  • Mathematics
Answered

State the maximum and mini mum value of

f(x)= x^2+9

Verified Answer :

konrad509
konrad509 konrad509
  • 07-07-2014

\(a>0 \Rightarrow \hbox{no maximum}\)

\(y_{min}=\frac{-b^2+4ac}{4a}\\y_{min}=\frac{-0^2+4\cdot1\cdot9}{4\cdot1}\\ y_{min}=9\)

Answer Link
kate200468
kate200468 kate200468
  • 07-07-2014

\(f(x)= x^2+9\\\\for\ each\ x\in R\\\\x^2 \geq 0\ \ \ \Rightarrow\ \ \ x^2+9 \geq 9\ \ \ \Rightarrow\ \ \ f(x) \geq 9\\\\y_{min}=9\\ y_{max}\ \ \ \rightarrow\ \ \ not\ exist\)

Answer Link

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