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Consider the following Polynomial.
S(x)= -3x^2 +x-9
Describe the behavior of the graph of S(x) as x ---> +/- ∞

S(x)--> ? as x--> -∞
S(x)-->? as x-->∞

Respuesta :

sqdancefan

Answer:

  • S(x) → -∞ as x → -∞
  • S(x) → -∞ as x → ∞

Step-by-step explanation:

The leading term tells you what you want to know. It is of even degree, so the value of S(x) is the same regardless of the sign of x as the magnitude of x gets large.

The sign of S(x) matches the sign of the leading coefficient (-3), so is negative as x gets large.

Hence ...

  • S(x) → -∞ as x → -∞
  • S(x) → -∞ as x → ∞

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