फलन \(f:[-1,3]\to\mathbb{R}\) को (f(x)=|x-1|+|x-3|) से दिया गया है। इसका परिसर क्या है?
The function \(f:[-1,3]\to\mathbb{R}\) is given by (f(x)=|x-1|+|x-3|). What is its range?
Explanation opens after your attempt
Correct Answer
A. ([2,4])
Concept
For \(x\in[1,3]\), the value is (2), and the maximum (4) occurs at (x=-1). Open moduli in intervals to find range.
Why this answer is correct
The correct answer is A. ([2,4]). For \(x\in[1,3]\), the value is (2), and the maximum (4) occurs at (x=-1). Open moduli in intervals to find range.
Exam Tip
\(x\in[1,3]\) पर मान (2) है और (x=-1) पर अधिकतम (4) मिलता है। खंडों में मापांक खोलकर परिसर निकालें।
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