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What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4?

A.
as x increases, f(x) increases;

as x decreases, f(x) decreases

B.
as x increases, f(x) decreases;

as x decreases,f(x) decreases

C.
as x increases, f(x) increases;

as x decreases, f(x) increases

D.
as x increases, f(x) decreases;

as x decreases, f(x) increases

Respuesta :

sqdancefan

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Answer:

  B.

  • as x increases, f(x) decreases;
  • as x decreases,f(x) decreases

Step-by-step explanation:

The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...

  • as x increases, f(x) decreases;
  • as x decreases,f(x) decreases

_____

Even degree means the end behaviors are the same for both large and small x. Negative leading coefficient means the function value decreases for larger x.

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