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Mathematics 18 Online
OpenStudy (anonymous):

Find the domain and range of f(x) = x^2/(1+x^2)?

OpenStudy (anonymous):

Do you understand what domain and range represent for x and y values?

OpenStudy (anonymous):

Yup

OpenStudy (anonymous):

cool, where are you having trouble then? :D

OpenStudy (anonymous):

i have trouble in solving range

OpenStudy (anonymous):

what did you get for your domain?

OpenStudy (anonymous):

devide top and bottom by x^2 and find limit when x goes to infinity

OpenStudy (anonymous):

Domain = R

OpenStudy (anonymous):

Yup, it's all real numbers. well is y ever negative?

OpenStudy (anonymous):

to see better what is range write it in this way: \[1-1 /(x ^{2}+1)\]

OpenStudy (anonymous):

got it?

OpenStudy (anonymous):

nop

OpenStudy (anonymous):

Well do you think that values of y can be negative?? (not sure if you were replying to myko or me..)

OpenStudy (anonymous):

first make sure that you understand why @agentc0re asks you about sign of (fx)

OpenStudy (anonymous):

i got it.............))

OpenStudy (anonymous):

thxxxx

OpenStudy (anonymous):

great, good job. This is a nice equation because it's always greater than zero. :D

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