7. The points of inflection are found by solving the first derivative equal to zero. 8. When the denominator of a rational function is zero the function will always have a vertical asymptote. 9. To determine the behavior of a function near the vertical asymptotes we use left and right hand limits. 10. Determining if a local extrema is a maximum or minimum cannot be done using the second derivative test. 11. A function can never cross asymptotes. 12. To determine the end behavior of a function we must check the lim x → +∞

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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7. The points of inflection are found by solving the first derivative equal to zero.
8. When the denominator of a rational function is zero the function will always
have a vertical asymptote.
9. To determine the behavior of a function near the vertical asymptotes we use left
and right hand limits.
10. Determining if a local extrema is a maximum or minimum cannot be done
using the second derivative test.
11. A function can never cross asymptotes.
12. To determine the end behavior of a function we must check the lim
x → +∞0
Transcribed Image Text:7. The points of inflection are found by solving the first derivative equal to zero. 8. When the denominator of a rational function is zero the function will always have a vertical asymptote. 9. To determine the behavior of a function near the vertical asymptotes we use left and right hand limits. 10. Determining if a local extrema is a maximum or minimum cannot be done using the second derivative test. 11. A function can never cross asymptotes. 12. To determine the end behavior of a function we must check the lim x → +∞0
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