As Krizalid said, what have you tried?
to get you started
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Originally Posted by calc_help123  F is the function defined by f(x) = (x^3-x)/(x^3-4x)
A) find the limit of f(x), as x approaches 0 |
try factorizing the numerator and denominator before taking the limit. see anything?
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B) FInd the zeroes of f(x)
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for a rational function, the zeroes occur where the numerator is zero, provided the denominator is not zero at the same time.
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C)Write an equation for the vertical and horizontal asymptotes of the graph of f(x)
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for rational functions, vertical asymptotes occur where the function is undefined, this does not include "holes" however. do you know what "holes" are?
as for horizontal asymptotes, find
and
. if either of those are finite, those are your horizontal asymptotes
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D)Describe the symmetry of f(x)
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what types of symmetry are you familiar with? do you know what "odd" and "even" mean when describing functions. is this function either of those? something else?