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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), is (f) one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=|x-2|) है, तो (f) एक-एक है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: No because (f(1)=f(3))नहीं क्योंकि (f(1)=f(3))
Step 1: In an absolute value function inputs equally distant from the center can give the same value. Step 2: (1\neq 3), but (f(1)=1) and (f(3)=1). Step 3: One repeated image is enough to reject one-one nature.चरण 1: निरपेक्ष मान वाले फलन में केंद्र से बराबर दूरी वाले आगत समान मान दे सकते हैं। चरण 2: (1\neq 3), लेकिन (f(1)=1) और (f(3)=1) है। चरण 3: समान प्रतिबिंब मिलते ही फलन एक-एक नहीं रहता।
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