Muft ShikshaLEARN. PRACTISE. PROGRESS.Search questions
Admin
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
← Back to Relations and Functions

Mathematics

Real-Valued Functions, Their Domain and Range

वास्तविक मान वाले फलन, उनके प्रांत और परास

In Class 11 Mathematics, under Relations and Functions, students study real-valued functions and identify their domain, codomain, range and image. They learn to represent functions through ordered pairs, rules and sets, determine allowable input values, and find the corresponding output values. The topic also develops understanding of function values and ranges for simple algebraic functions.

Practice questions

What is the value of the function \(f(x)=|x|-|x-2|\) at \(x=3\)?If the real-valued function is \(f(x)=\dfrac{\sqrt{4-x^2}}{x-1}\), which of the following is its domain?If \(f(x)=x^2+4x+7\), where \(x\in\mathbb{R}\), what is the minimum value of the function?What are the zeros of the function \(f(x)=|x^2-4|\), that is, the values of \(x\) for which \(f(x)=0\)?What is the value of \(f(x)=|x-2|+|x+2|\) at \(x=1\)?Which of the following real-valued functions has domain \(\mathbb{R}\) and range \([0,\infty)\)?What is the domain of the function \(f(x)=\sqrt{2x+6}\) over the real numbers?What is the value of the function \(f(x)=|x-2|+|x-6|\) at \(x=4\)?What is the value of the function \(f(x)=|x+4|-|x-2|\) at \(x=-1\)?What are the zeros of the function \(f(x)=x^2+8x+15\)?What is the maximum value of the function \(f(x)=3-\sqrt{x-1}\), where \(x\ge 1\)?What is the range of the function \\(f(x)=2\\sqrt{x+1}-5\\)?What is the range of the function \\(f(x)=\\frac{1}{x+4}+6\\)?What is the range of the fractional part function \(f(x)=\{x\}\)?For the function \(f(x)=\{x-2\}\), what is the value of \(f(5.75)\)? Here, \(\{y\}\) denotes the fractional part of \(y\).Which of the following functions has a domain consisting only of positive real numbers?For the function \(y=\frac{x}{|x|}\), at which value of \(x\) is it undefined?Which of the following functions has all real numbers as its domain but does not have all real numbers as its range?What is the domain of the graph of the function \(f(x)=\sqrt{x+5}\)?Which of the following real-valued functions has all real numbers as its domain but does not attain a minimum value?