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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+4x), what type of function is (f)?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=x^3+4x) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: This function increases continuously as (x) increases. Step 2: If (a>b), then (a^3+4a) is greater than (b^3+4b). Step 3: A strictly increasing function is one-one.चरण 1: यह फलन (x) बढ़ने पर लगातार बढ़ता है। चरण 2: यदि (a>b) हो तो (a^3+4a) भी (b^3+4b) से बड़ा होता है। चरण 3: लगातार बढ़ता फलन एकैकी होता है।
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