Class 11 Mathematics Relations and Functions Real valued functions, domain and range of these functions Medium Level 33

यदि (f(x)=\sqrt{20-x}) और डोमेन ((4,20]) है, तो रेंज क्या होगी?

If (f(x)=\sqrt{20-x}) and the domain is ((4,20]), what is the range?

Explanation opens after your attempt
Correct Answer

A. ([0,4))

Step 1

Concept

Since (x=20) is included, output (0) is included, and since (x=4) is open, output (4) is not included. In exams endpoints reverse for a decreasing square-root expression.

Step 2

Why this answer is correct

The correct answer is A. ([0,4)). Since (x=20) is included, output (0) is included, and since (x=4) is open, output (4) is not included. In exams endpoints reverse for a decreasing square-root expression.

Step 3

Exam Tip

(x=20) शामिल है इसलिए output (0) शामिल है, और (x=4) खुला है इसलिए output (4) शामिल नहीं है। परीक्षा में decreasing square-root expression में endpoints उलट जाते हैं।

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यदि (f(x)=\sqrt{20-x}) और डोमेन ((4,20]) है, तो रेंज क्या होगी? / If (f(x)=\sqrt{20-x}) and the domain is ((4,20]), what is the range?

Correct Answer: A. ([0,4)). Explanation: (x=20) शामिल है इसलिए output (0) शामिल है, और (x=4) खुला है इसलिए output (4) शामिल नहीं है। परीक्षा में decreasing square-root expression में endpoints उलट जाते हैं। / Since (x=20) is included, output (0) is included, and since (x=4) is open, output (4) is not included. In exams endpoints reverse for a decreasing square-root expression.

Which concept should I revise for this Mathematics MCQ?

Since (x=20) is included, output (0) is included, and since (x=4) is open, output (4) is not included. In exams endpoints reverse for a decreasing square-root expression.

What exam hint can help solve this Mathematics question?

(x=20) शामिल है इसलिए output (0) शामिल है, और (x=4) खुला है इसलिए output (4) शामिल नहीं है। परीक्षा में decreasing square-root expression में endpoints उलट जाते हैं।