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  • Need solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise 17.1 question 3

Need solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise 17.1  question 3

Answers (1)

Answer:

Minimum value = 0 and maximum value does not exist.

Hint:

f(x) have max value in [a, b] such that f(x) ≤ f(c) for all x belongs to [a ,b] and if f(x) ≥ f(c) then f(x) has minimum value.

Given:

\begin{aligned} &f(x)=|x+2| \text { on } R \\ &\because|x+2| \geq 0 \text { for } x \in R \\ &f(x) \geq 0 \text { for all } x \in R \end{aligned}

Minimum value of f(x) is 0 at x = - 2 and it does not have maximum value.

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