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Find the range of the function.
f(x) = (x – 2)^2 + 2 (2 points)
All real numbers
y ≥ 0
y > 2
y ≥ 2
 one year ago
 one year ago
Find the range of the function. f(x) = (x – 2)^2 + 2 (2 points) All real numbers y ≥ 0 y > 2 y ≥ 2
 one year ago
 one year ago

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UnkleRhaukusBest ResponseYou've already chosen the best response.0
its a parabola , ( you can tell because one fo the variables is squared, a parabola will have either a minimum or maximum value
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
range of parabola is the range of valid y values!!
 one year ago

sami21Best ResponseYou've already chosen the best response.0
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 ?
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
Did you find any value of x for which f(x) is undefined?
 one year ago

sara1234Best ResponseYou've already chosen the best response.0
no its not right huh? @sami21 said yes
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
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?
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
Yes.. so, since the term containing x is squared. f(x) retains a minimum of 2
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
hence, y has a restriction on real numbers as well!!
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
so what is that you say now on range of y??
 one year ago

sara1234Best ResponseYou've already chosen the best response.0
so the answer is all real numbers?
 one year ago

sami21Best ResponseYou've already chosen the best response.0
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 .
 one year ago

sara1234Best ResponseYou've already chosen the best response.0
guyss which is the answer!!!!!!!!!!!!!!
 one year ago

helpingtutorsBest ResponseYou've already chosen the best response.0
Yes.. y>=2 is right
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
dw:1345110368044:dw
 one year ago
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