sara1234
Find the range of the function.
f(x) = (x – 2)^2 + 2 (2 points)
All real numbers
y ≥ 0
y > 2
y ≥ 2
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UnkleRhaukus
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its a parabola , ( you can tell because one fo the variables is squared,
a parabola will have either a minimum or maximum value
helpingtutors
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range of parabola is the range of valid y values!!
sami-21
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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 ?
sara1234
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y ≥ 2
sara1234
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??
helpingtutors
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Did you find any value of x for which f(x) is undefined?
sami-21
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yes
helpingtutors
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think again!!
sara1234
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no its not right huh? @sami-21 said yes
helpingtutors
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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?
sara1234
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all real numbers
helpingtutors
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Yes.. so, since the term containing x is squared.
f(x) retains a minimum of 2
helpingtutors
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hence, y has a restriction on real numbers as well!!
helpingtutors
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so what is that you say now on range of y??
sara1234
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so the answer is all real numbers?
sami-21
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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 .
sara1234
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guyss which is the answer!!!!!!!!!!!!!!
helpingtutors
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Yes.. y>=2 is right
UnkleRhaukus
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