True or False a) If the second derivative = 0 at x = a, then you will have an inflection point at x=a b) If the first derivative = 0 at x = a, then you will have a max or a min at x=a c) Polynomial functions will sometimes have vertical asymptotes. d) To determine the behavior of a function near its asymptotes, limits are used. e) For a curve to have a horizontal asymptote, evaluate lim x--> infinity f(x
True or False a) If the second derivative = 0 at x = a, then you will have an inflection point at x=a b) If the first derivative = 0 at x = a, then you will have a max or a min at x=a c) Polynomial functions will sometimes have vertical asymptotes. d) To determine the behavior of a function near its asymptotes, limits are used. e) For a curve to have a horizontal asymptote, evaluate lim x--> infinity f(x
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...
Related questions
Question
True or False
a) If the second derivative = 0 at x = a, then you will have an inflection point at x=a
b) If the first derivative = 0 at x = a, then you will have a max or a min at x=a
c) Polynomial functions will sometimes have vertical asymptotes.
d) To determine the behavior of a function near its asymptotes, limits are used.
e) For a curve to have a horizontal asymptote, evaluate lim x--> infinity f(x)
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