I
iTeachChem•2mo ago
Abhi

Maths functions question

How to solve it
No description
17 Replies
iTeachChem Helper
iTeachChem Helper•2mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•2mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Well ig there would be 2 cases: 1. Denominator has 2 distinct roots 2. Denominator has one root and numerstor changes sign at that root.
Abhi
AbhiOP•2mo ago
No description
Abhi
AbhiOP•2mo ago
No description
Abhi
AbhiOP•2mo ago
why is D' less than equal to zero ? not greater than equal to ? for y to be real
SirLancelotDuLac
SirLancelotDuLac•2mo ago
Oh right. But why the above works is because for x to tend to + and - infinity both denominator must tend zero when the numerator is both positive and negative
Padmakar 🅴
Padmakar 🅴•2mo ago
Denominator is never 0 thereforce discriminant < 0 so it will never be = 0. Ahh diff approach
Abhi
AbhiOP•2mo ago
didn't understand you can do D > 0 right ? D is not eqaul to zero
Dexter
Dexter•2mo ago
Range Belongs to R honi chahiye D less than zero isiliye kiya hai because y² - k+1y +1 wali term should always be positive for the range to be real it just means ki K se independent rahega Maamla The range would be R when this equation ka discriminant is Greater than zero for all X belongs to R
Abhi
AbhiOP•2mo ago
oh is d < 0 pe positive hota hai ?
Dexter
Dexter•2mo ago
Agar square wali term ka coefficient > 0 and D< 0 then the quadratic is positive for all X like x²+x+4 iska graph banaoge to it'll always be above x axis isme x² ka coeff > 0 hai and D<0
SirLancelotDuLac
SirLancelotDuLac•2mo ago
The best method is as Dexter explained but ig this should also work: The expression takes all values toh it must assume +infinity and -infinity (not literally, basically must tend to both these values) somewhere. Iska matlab denominator must be going to zero somewhere. Now jahan pe denominator zero ho raha hai un value(s) ke neighbourhood mein numerator/denominator ko +ve aur -ve dono hona chahiye. Building on this may work ig
Mandy34
Mandy34•2mo ago
This is a standard question
Abhi
AbhiOP•2mo ago
+solved @SirLancelotDuLac @Dexter
iTeachChem Helper
iTeachChem Helper•2mo ago
Post locked and archived successfully!
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Abhi
AbhiOP•2mo ago
:]

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