Answer the following questions; 1. A student writes that if the right and left limits of a function h(x) are equal at a =k_and h(k) exists, then h is continuous at æ = k. Is this student correct? Explain your reasoning. 2. Is it possible for a function to cross a vertical asymptote? Explain your reasoning. 3. Is it possible for a function to intersect a horizontal asymptote? Explain your reasoning.

Answer the following questions; 1. A student writes that if the right and left limits of a function h(x) are equal at a =k_and h(k) exists, then h is continuous at æ = k. Is this student correct? Explain your reasoning. 2. Is it possible for a function to cross a vertical asymptote? Explain your reasoning. 3. Is it possible for a function to intersect a horizontal asymptote? Explain your reasoning.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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