Discuss the continuity of the function f, where f is defined by f(x) = –2, if x ≤ –1; 2x, if –1 1

Question

TextContinuity of a Function in an Interval

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Is the function defined by f(x) = | x |, a continuous function?

Discuss the continuity of the function f given by f (x) = x3 + x2 – 1.

Discuss the continuity of the function f defined by f (x) = 1/x, x ≠ 0.

Discuss the continuity of the function defined by f(x) = x+2, if x<0; -x+2, if x>0

Discuss the continuity of the function f given by f(x) = x, if x≥0; x2, if x<0

Examine the following functions for continuity.