The statement that describes the end behavior of the graph f(x) = -4x³ + 28x² + 32x + 64.
The graph increases to left and decreases to right.
The end behavior of a polynomial function is given by the limits of the function as x approaches infinity, meaning that only the term with the highest exponent is considered for the calculation of the limit.
In this problem, the function is defined as follows:
f(x) = -4x³ + 28x² + 32x + 64.
Considering only the highest exponent, we have that:
f(x) = -4x³.
Hence the behavior of the graph of the function at the left tail is given as follows:
lim x -> -∞ f(x) = -4(-∞)³ = -4 x (-∞) = ∞.
(increases to the left).
At the right tail, the behavior is given as follows:
lim x -> ∞ f(x) = -4 x (∞)³ = -4 x (∞) = -∞.
(decreases to right).
The problem is incomplete, hence we suppose that it asks for us to describe the end behavior of the graph.
Learn more about the end behavior of a function at brainly.com/question/1365136
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