Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
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
#SPJ1
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
