Use the graph of the function f to find each of the following. f(2) = f(0) = Wri

Question

Use the graph of the function f to find each of the following. f(2) = f(0) = Write the formula for f using a piecewise function. f(x) = Use the same graph from number 2 to answer the following question. The function shown is NOT continuous at x = Use the formal definition of continuity to explain why. f(2) f(0) Write the formula for f using a piecewise function. f(x) = Use the same graph from number 2 to answer the following question. The function shown is NOT continuous at x = Use the formal definition of continuity to explain why. The function shown is continuous at x = 0. Use the formal definition of continuity to explain why.

Explanation / Answer

2 a) 1 bcoz from negative side of 2 its showing limiting to 1 b) 2 bcoz from +ve side of 2 its showing limiting to 2 c) does not exist bcoz its different from +ve side and -ve side d) 2 bcoz from both -ve and +ve sides its coming to be 2 e) doesn not exist by applying sandwitch theorem f) 2 same as the limit x-> 2 f(x) as we can find values of f(x) by limitng values from sandwitch theorem 3 its not continuos at x=2 because from -ve side limit is equal to 1 and from +ve side limit is equal to 2 its continuos at x=0 bcoz from -ve side limit is equal to 2 and from +ve side limit is equal to 2 hence satisfying sandwitch theorm

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