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Range of Function

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by money9111 » Sat Feb 13, 2010 6:00 pm
IF f(x)=(x+sqrt3)^4, what is the range of the function f(x)?

A. sqrt3<f(x)<4
B. f(x)>=0
C. f(x)<0
D. f(x) dne 0

OA B

is this just something that you think through? or is there an algebraic way to figure it out? the book doesn't give an algebraic way...

thanks
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by thephoenix » Sat Feb 13, 2010 7:53 pm
money9111 wrote:IF f(x)=(x+sqrt3)^4, what is the range of the function f(x)?

A. sqrt3<f(x)<4
B. f(x)>=0
C. f(x)<0
D. f(x) dne 0

OA B

is this just something that you think through? or is there an algebraic way to figure it out? the book doesn't give an algebraic way...

thanks
becoz the exp (x+sqrt3)^4 is raised to the power 4 it can not have a -ve value so f(x) will always be > then 0
now to check whether its = 0 or not
put x=-v3------>f(x)=0 since f(x) can not have a -ve value and for all other value its >0---->f(x)>=0
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by money9111 » Sat Feb 13, 2010 8:26 pm
thank you for the explanation... makes sense now
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