Question
Find the asymptotes of the following functions:
(i) (3x-4)/(2x+6)
(ii) (x²-2x-8)/(x-1)
Answer :
Word Count : 146
For the function (f(x) = \frac{3x-4}{2x+6}), vertical asymptotes occur where the denominator is zero. Setting (2x + 6 = 0) gives (x = -3). For the horizontal asymptote, consider _______ __________ ________ __________ ________ ____ _______.
_____ __________ ________ _______ _____ ______.
___ ________ ______ ____ _____ __________.
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___ __________ ______ _________ ___ _______ ____ ______ ___ _________ ______.
__________ ____ _____ __________ _____ _______ ___ _________ __________ ________ ___.
______ __________ _____ ___ _____ _______ __________ ______ ______.
_________ ____ ____ _________ ________ _______ __________ _____ ________ ______.
____ _________ __________ __________ ______ _____ _____ ____.
____ ________ ________ __________ ______ __________ ____.
______ __________ _______ ________ ____ __________ ______ ________.
___ _________ ___ ___ ____ ____ _____ ____ _______ __________ ________.
_____ ____ ________ _______ ______ ____ _____ ____ ______ _________.
_____ _______ ___ _____ _____ ______ ______.
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For the function (f(x) = \frac{3x-4}{2x+6}), vertical asymptotes occur where the denominator is zero. Setting (2x + 6 = 0) gives (x = -3). For the horizontal asymptote, consider _______ __________ ________ __________ ________ ____ _______.
_____ __________ ________ _______ _____ ______.
___ ________ ______ ____ _____ __________.
____ __________ _________ ____ ______ __________.
___ __________ ______ _________ ___ _______ ____ ______ ___ _________ ______.
__________ ____ _____ __________ _____ _______ ___ _________ __________ ________ ___.
______ __________ _____ ___ _____ _______ __________ ______ ______.
_________ ____ ____ _________ ________ _______ __________ _____ ________ ______.
____ _________ __________ __________ ______ _____ _____ ____.
____ ________ ________ __________ ______ __________ ____.
______ __________ _______ ________ ____ __________ ______ ________.
___ _________ ___ ___ ____ ____ _____ ____ _______ __________ ________.
_____ ____ ________ _______ ______ ____ _____ ____ ______ _________.
_____ _______ ___ _____ _____ ______ ______.
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