Word Count : 308

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हमें $f(x)$ को संख्यात्मक रूप से देखते हुए उस सबसे बड़े समुच्चय (largest set) को खोजना है जिस पर यह फलन सतत् है। फलन दिया है: $$ f(x) = \begin{cases} 2x, & x > 5 \\[2mm] x + 5, & 1 \le x \le 5 \\[1mm] |x|, & x < 1 \end{cases} $$ सततता जांचने के लिए हमें स्विचिंग पॉइंट्स पर ध्यान देना होगा, यानी जहाँ फंक्शन का नियम बदलता है: $x = 1$ और $x = ______ ___ _____ _____ _______ ______ ______.
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