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sara1234
Group Title
Find the range of the function.
f(x) = (x – 2)^2 + 2 (2 points)
All real numbers
y ≥ 0
y > 2
y ≥ 2
 2 years ago
 2 years ago
sara1234 Group Title
Find the range of the function. f(x) = (x – 2)^2 + 2 (2 points) All real numbers y ≥ 0 y > 2 y ≥ 2
 2 years ago
 2 years ago

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UnkleRhaukus Group TitleBest 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
 2 years ago

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
range of parabola is the range of valid y values!!
 2 years ago

sami21 Group TitleBest 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 ?
 2 years ago

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
Did you find any value of x for which f(x) is undefined?
 2 years ago

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
think again!!
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.0
no its not right huh? @sami21 said yes
 2 years ago

helpingtutors Group TitleBest 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?
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.0
all real numbers
 2 years ago

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

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
hence, y has a restriction on real numbers as well!!
 2 years ago

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
so what is that you say now on range of y??
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.0
so the answer is all real numbers?
 2 years ago

sami21 Group TitleBest 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 .
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.0
guyss which is the answer!!!!!!!!!!!!!!
 2 years ago

helpingtutors Group TitleBest ResponseYou've already chosen the best response.0
Yes.. y>=2 is right
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
dw:1345110368044:dw
 2 years ago
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