felixmonteagudo4 felixmonteagudo4
  • 15-03-2021
  • Mathematics
contestada

what is the range of f(x) = 2x^3-17x^2+4x+12

Respuesta :

yesyesufcurs yesyesufcurs
  • 15-03-2021

Answer:

[tex](-\infty,\infty)[/tex]

Step-by-step explanation:

[tex]\lim_{x \to -\infty} f(x) = - \infty\\\lim_{x \to \infty} f(x) = \infty[/tex]

Furthermore, a polynomial is continuous, so by the intermediate value theorem, for each value y there exists a value for x such that y = f(x), so the range is (-\infty, \infty)

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