If a function f is continuous at a andthen the curve y = f(x) has a vertical tangent line at a and the equation of the tangent line is x = a. If a is an endpoint of a domain, then the appropriate one-sided derivative is used. Use this information to answer the following questions.

The preceding definition of a vertical tangent line includes four cases: combined with(for example, one case is

Sketch a continuous function that has a vertical tangent line at a in each of the  our cases.

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lim | f'(x)| = lim f'(x) =