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Find All Points of Discontinuity Of F, Where F Is Defined by |X|+3, If X<= -3, -2x, If -3 < X < 3,6x + 2, If X >= 3 - CBSE (Science) Class 12 - Mathematics

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Question

Find all points of discontinuity of f, where f is defined by `f(x) = {(|x|+3, if x<= -3),(-2x, if -3 < x < 3),(6x + 2, if x >= 3):}`

Solution

The given function f is f(x) = `f(x) = {(|x|+3, if x<= -3),(-2x, if -3 < x < 3),(6x + 2, if x >= 3):}`

The given function f is defined at all the points of the real line.

Let c be a point on the real line.

Case I:

Therefore, f is continuous at all points x, such that x > 3

Hence, x = 3 is the only point of discontinuity of f.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 7 | Page no. 159
Solution Find All Points of Discontinuity Of F, Where F Is Defined by |X|+3, If X<= -3, -2x, If -3 < X < 3,6x + 2, If X >= 3 Concept: Concept of Continuity.
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