Question

SERIOUSLY HELPPPPPPPP

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

Answer 1

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Answer:

B.

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

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

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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.