Does continuity of f imply continuity of f? Let 94. 1 g(x)=1 if x 0 if x< 0. -1 a. Write a formula for g(x). b. Is g continuous at x = 0? Explain. 0? Explain. c. Is g continuous at x = d. For any function f, iffis continuous at a, does it necessarily follow that f is continuous at a? Explain.

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A: For the given function,

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A:           Given,

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A: Yes, you are right. We add the exponents because the bases are same. 

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A:

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A: Apply hte limit,

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A: Solve the equation for t.

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A:

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A: Use the online graphing calculator and draw the graph of the function as shown below.