johnkano johnkano
  • 12-02-2020
  • Mathematics
contestada

Determine the end behavior for function ƒ(x) = –x4 + 5x3 – 3.

Determine the end behavior for function ƒx x4 5x3 3 class=

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monica789412 monica789412
  • 18-02-2020

Answer:

f(x)→−∞ as x→−∞ and f(x)→−∞ as x→∞

Step-by-step explanation:

Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is −x4, then the degree is 4, i.e. even, and the leading coefficient is −1, i.e. negative.

This means that f(x)→−∞ as x→−∞ and f(x)→−∞ as x→∞.

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