Math, asked by vklm10, 1 year ago

Question 22 how to check whether onto or not

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Answers

Answered by Anonymous
1
we know that function onto when

range of function is equal to co-domain of that function.

see attachment...

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hope it will help u
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vklm10: but seeing the there are two value of x for same y THEN ITS SHOULD NIT BE ONE - ONE
Anonymous: no there is only one value of x for one..the given function is one one..i checked it....see that...after diffrentiatiating we this expression comes out 3x^2 +5 which is positive for everyvalue of x. so the guven function is increasing ..i.e one -one
Anonymous: u check it carefully
vklm10: i understood the differentiation method but graph will have 2 cuts which means 2 value
vklm10: or my concept is wrong DO WE SEE value of x instead or value of y
Anonymous: the graph i have dearwn is just rough one....this cubic ecpression cut asix only one time...this cubuc expression have only one real root and 2 imaginary root
vklm10: k can u try answering my other questions
Anonymous: becoz this cubic equation is increasing so we know that increasing function with odd power have atleast one real root
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