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फलन (f(x)=|2x-8|+3) का शीर्ष कौन सा है?

What is the vertex of (f(x)=|2x-8|+3)?

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Correct Answer

A. ((4,3))

Step 1

Concept

For the vertex, set (2x-8=0), which gives (x=4). The outside (+3) makes the vertex ((4,3)).

Step 2

Why this answer is correct

The correct answer is A. ((4,3)). For the vertex, set (2x-8=0), which gives (x=4). The outside (+3) makes the vertex ((4,3)).

Step 3

Exam Tip

शीर्ष के लिए (2x-8=0) रखें जिससे (x=4) मिलता है। बाहर (+3) होने से शीर्ष ((4,3)) है।

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फलन \(f:\mathbb{R}\to\mathbb{R}\), (f(x)=|2x+1|) के लिए सही विकल्प चुनिए।

Choose the correct option for \(f:\mathbb{R}\to\mathbb{R}\), (f(x)=|2x+1|).

Explanation opens after your attempt
Correct Answer

B. एकैकी नहीं हैIt is not one-one

Step 1

Concept

Due to absolute value, two different inputs can give the same positive value.

Step 2

Why this answer is correct

(f(0)=1) and (f(-1)=1), while \(0\neq -1\).

Step 3

Exam Tip

Check absolute value functions carefully on all of \(\mathbb{R}\). चरण 1: निरपेक्ष मान के कारण दो अलग आगत समान धनात्मक मान दे सकते हैं। चरण 2: (f(0)=1) और (f(-1)=1), जबकि \(0\neq -1\)। चरण 3: निरपेक्ष मान वाले फलन को पूरे \(\mathbb{R}\) पर सावधानी से जाँचें।

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