Is the function f defined by 2x 3 if x 2 2x 3 if x 2 6 f x x 8 f x x 0 continuous at x 0 At x 1 At x 2 Find all points of

Question

Is the function f defined by 2x 3 if x 2 2x 3 if x 2 6 f x x 8 f x x 0 continuous at x 0 At x 1 At x 2 Find all points of discontinuity off where fis defined 10 f x if x 0 if x 0 x 1 if x 1 x 1 if x 1 udenly she x 0 1 if x 1 12 f x if x 1 13 Is the function defined by a continuous function f x User f x x if x 1 2 if x 1 16 f x 2x if 1 x 1 2 if x 1 5 if x 1 x 3 if x 3 f x 2x if 3 x 3 6x 2 if x 3 11 f x 9 f x x x 5 if x 1 x 5 if x 1 Rationalised 2023 24 x if x 0 1 1 if x 0 x 3 if x 2 x 1 if x 2 CONTINUITY AND DIFFERENTIABILITY Discuss the continuity of the function f where f is defined by 3 if 0 x 1 14 f x 4 if 1 x 3 5 if 3 x 10 2x if x 0 15 f x 0 if 0 x 1 4x if x 1 is continuous at x 3 18 For what value of 2 is the function defined by 17 Find the relationship between a and b so that the function f defined by ax 1 if x 3 f x bx 3 if x 3 2 x 2x if x 0 4x 1 117 olished f x continuous at x 0 What about continuity at x 1 19 Show that the function defined by g x x x is discontinuous at all integral points Here x denotes the greatest integer less than or equal to x 20 Is the function defined by f x x sin x 5 continuous at x

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