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?
Solution Discuss the Continuity of the Function F, Where F Is Defined by -1, 2x,2 Concept: Continuous Function of Point.
