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What is the range of f(x) = x² when its domain is the real numbers?जब f(x) = x² का डोमेन वास्तविक संख्याएँ हों, तो इसका परिसर (रेंज) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: [0, ∞)[0, ∞)
For every real x, x² ≥ 0, and x = 0 gives the value 0. Every positive value y is also attained by taking x = √y. Therefore, the range is [0, ∞).हर वास्तविक x के लिए x² ≥ 0 होता है और x = 0 पर मान 0 मिलता है। प्रत्येक धनात्मक मान y भी x = √y रखने पर प्राप्त होता है। इसलिए परिसर [0, ∞) है।
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