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Discuss the Continuity of the Function F, Where F Is Defined by -1, 2x,2 - CBSE (Commerce) Class 12 - Mathematics

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Question

Discuss the continuity of the function f, where f is defined by

`f(x) = {(-2,"," if x <= -1),(2x, "," if -1 < x <= 1),(2, "," if x > 1):}`

Solution

The given function f is `f(x) = {(-2,"," if x <= -1),(2x, "," if -1 < x <= 1),(2, "," if x > 1):}`

The given function is defined at all 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 > 1

Thus, from the above observations, it can be concluded that f is continuous at all points of the real line.

  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: 16 | Page no. 160
Solution Discuss the Continuity of the Function F, Where F Is Defined by -1, 2x,2 Concept: Continuous Function of Point.
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