Question

What is the end behavior of the graph of f(x) = -0.25x² - 2x +1?

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

The end behavior of the graph of f(x) = -0.25x² - 2x +1 is as follows:

As x increases without bound, the leading term -0.25x² becomes increasingly negative, which causes the function to decrease without bound. Similarly, as x decreases without bound, the leading term -0.25x² becomes increasingly negative, which also causes the function to decrease without bound. Hence, the answer is (B) As x increases, f(x) decreases. As x decreases, f(x) decreases.