anonymous
  • anonymous
Which of the following is false for
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
A. The y-axis is not an asymptote of f(x). B. The x-axis is an asymptote of f(x). C. x = –1 is not an asymptote of f(x). D. x = 1 is an asymptote of f(x)
anonymous
  • anonymous

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jim_thompson5910
  • jim_thompson5910
what do you have so far?
anonymous
  • anonymous
is it D?
jim_thompson5910
  • jim_thompson5910
why do you think it's D?
anonymous
  • anonymous
\[limf(x){x \rightarrow \infty}=0\] \[f'(x) = −\frac{10\,{x}^{5}−15\,{x}^{4}−20\,{x}^{3}+10\,x−5}{{x}^{8}−2\,{x}^{4}+1}\] \[lim f'(x){x \rightarrow \infty}=0\] so, f(x), x infinite is decreasing (f'(x) negative arround infinite) B.
anonymous
  • anonymous
okay i read y = 1 for some reason, iv graphed it and the table says x=1,0, and -1 are DNE
anonymous
  • anonymous
is it C then
jim_thompson5910
  • jim_thompson5910
yeah because x = -1 is an asymptote saying `x = –1 is not an asymptote of f(x).` is false
anonymous
  • anonymous
thank you very mucuh.

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