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Sagot :
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.
How to obtain the end behavior of the polynomial?
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).
Missing Information
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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