Write the Word or Phrase That Best Completes Each Statement $$f ( x ) = - x ^ { 2 } ( x - 1 ) ( x + 3 )$$

question 212

Essay

Write the word or phrase that best completes each statement or answers the question.
Analyze the graph of the given function f as follows:
(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.
(b) Find the x- and y-intercepts of the graph.
(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(d) Graph f using a graphing utility.
(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.
(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.
(g) Find the domain of f. Use the graph to find the range of f.
(h) Use the graph to determine where f is increasing and where f is decreasing.
- $$f ( x ) = - x ^ { 2 } ( x - 1 ) ( x + 3 )$$

Understand the foreign policy approaches of key U.S. presidents during the early 20th century.

Identify major global powers' presence in the world and how the United States compared to them in the early 20th century.

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