graphing calculator is recommended. Determine the end behavior of P. P(x) = x4

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 graphing calculator is recommended.

Determine the end behavior of P.
P(x) = x4 − 6x2 + 5x + 8
y → 
 as x → ∞
y → 
 as x → −∞
Jul 14th, 2015

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Jul 14th, 2015

P(x) = x4 − 6x2 + 5x + 8

Substitute value of x = infinity ; we can see that y = infinity ;
Hence as the value of x tens to  ∞   y will also tend to ∞
similarly, Substitute value of x = - ; we can see that y = infinity ;
Hence as the value of x tens to  -∞  y will also tend to ∞

From the following graph also we can deduce the same


Jul 14th, 2015
1.jpg

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