anonymous
  • anonymous
Find the range of the function. f(x) = (x – 2)^2 + 2 (2 points) All real numbers y ≥ 0 y > 2 y ≥ 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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UnkleRhaukus
  • UnkleRhaukus
its a parabola , ( you can tell because one fo the variables is squared, a parabola will have either a minimum or maximum value
anonymous
  • anonymous
range of parabola is the range of valid y values!!
anonymous
  • anonymous
put x=2 in the given equation you will be left with only y=2 means regardless values of x it will be y=2 now since it is Parabola which opens upward . so can you tell me what will be the range ?

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anonymous
  • anonymous
y ≥ 2
anonymous
  • anonymous
??
anonymous
  • anonymous
Did you find any value of x for which f(x) is undefined?
anonymous
  • anonymous
yes
anonymous
  • anonymous
think again!!
anonymous
  • anonymous
no its not right huh? @sami-21 said yes
anonymous
  • anonymous
yep!! none of the real value of x make f(x) undefined!! So all real values of x make f(x) valid!! Therefore, what do you say about the range of y?
anonymous
  • anonymous
all real numbers
anonymous
  • anonymous
Yes.. so, since the term containing x is squared. f(x) retains a minimum of 2
anonymous
  • anonymous
hence, y has a restriction on real numbers as well!!
anonymous
  • anonymous
so what is that you say now on range of y??
anonymous
  • anonymous
so the answer is all real numbers?
anonymous
  • anonymous
when you put x=2 you are left with y=2 this means whatever the value of x vale of y (range) will never be less than 2 .
anonymous
  • anonymous
guyss which is the answer!!!!!!!!!!!!!!
anonymous
  • anonymous
Yes.. y>=2 is right
UnkleRhaukus
  • UnkleRhaukus
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