Consider the function ƒ : [−1, √/10] → R defined by[x²,x,f(x)1086420-1ƒ(x) =011x > 2;x ≤ 2.XI234Answer each of the following questions on the discontinuity of f.By using the € - 8 definition, explain why limx→2 f(x) does not exist.Consider the set (0,5). Find the preimage f-¹((0,5)) and use the topologicalcharacterization of continuous functions.

Answered: Image /qna-images/answer/3e5287af-1965-4aff-9d8e-cdd1326e55f6.jpg

Consider the function f : [-1, √/10] → R defined by [x², X, f(x) 10 8 6 4 2 0 -1 f(x) = 0 1 1 x > 2; x ≤ 2. X I 2 3 4 Answer each of the following questions on the discontinuity of f. By using the e-8 definition, explain why limx→2 f(x) does not exist. Consider the set (0,5). Find the preimage f-¹((0,5)) and use the topologica characterization of continuous functions.

Consider the function f : [-1, √/10] → R defined by [x², X, f(x) 10 8 6 4 2 0 -1 f(x) = 0 1 1 x > 2; x ≤ 2. X I 2 3 4 Answer each of the following questions on the discontinuity of f. By using the e-8 definition, explain why limx→2 f(x) does not exist. Consider the set (0,5). Find the preimage f-¹((0,5)) and use the topologica characterization of continuous functions.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 6CR

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