naygonz23 naygonz23
  • 23-07-2019
  • Mathematics
contestada

what is the end behavior of the function f(x)= -3x^7+4x^5-14?

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sqdancefan
sqdancefan sqdancefan
  • 24-07-2019

Answer:

  • f(-∞) → ∞
  • f(∞) → -∞

Step-by-step explanation:

The degree of the function is odd, so the ends tend in opposite directions. The leading coefficient is negative, so the right end (as x gets large) will tend toward -∞. Then the left end tends toward +∞.

_____

If the degree is even, both ends tend in the same direction. That direction matches the sign of the leading coefficient.

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