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If (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6), choose the correct statement.यदि (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6) है, तो सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is one-oneयह एकैकी है
Step 1: (f(x)=x^2-4x+6=(x-2)^2+2). Step 2: The domain ([2,\infty)) lies to the right of the vertex, where the function is strictly increasing. Step 3: A quadratic becomes one-one when restricted to one side of its vertex.चरण 1: (f(x)=x^2-4x+6=(x-2)^2+2) है। चरण 2: प्रांत ([2,\infty)) शीर्ष के दाईं ओर है, जहां फलन लगातार बढ़ता है। चरण 3: द्विघात फलन को शीर्ष के एक ओर सीमित करने पर वह एकैकी बन जाता है।
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