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What is the \(y\)-intercept, that is, the \(y\)-coordinate where the graph of \(f(x)=x+2\) crosses the \(y\)-axis?फलन \(f(x)=x+2\) के ग्राफ का \(y\)-अक्ष प्रतिच्छेद (अर्थात् प्रतिच्छेद का \(y\)-निर्देशांक) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 22
Every point on the \(y\)-axis has \(x=0\). Therefore, \(f(0)=0+2=2\), so the \(y\)-coordinate of the \(y\)-intercept is 2 and the intercept point is \((0,2)\). The value \(−2\) would result from a function such as \(x−2\), not \(x+2\). Exam tip: To find a graph’s \(y\)-intercept, substitute \(x=0\).\(y\)-अक्ष पर प्रत्येक बिंदु के लिए \(x=0\) होता है। अतः \(f(0)=0+2=2\), इसलिए \(y\)-अक्ष प्रतिच्छेद का \(y\)-निर्देशांक 2 है और प्रतिच्छेद बिंदु \((0,2)\) होगा। \(−2\) विकल्प केवल तब आता जब फलन \(x−2\) होता। परीक्षा-युक्ति: \(y\)-अक्ष प्रतिच्छेद निकालने के लिए हमेशा \(x=0\) रखें।
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