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

question 313

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.
- $$f ( x ) = - 2 ( x - 1 ) ( x + 3 ) ^ { 3 }$$

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Definitions:

Direct Materials

Raw materials that are directly traceable to the manufacturing of a product and constitute a significant portion of the costs of goods produced.

Prime Costs

The total cost of direct materials and direct labor incurred in the production of goods.

Conversion Costs

The combination of labor costs and overhead costs that are incurred to convert raw materials into finished goods.

Direct Labor Cost

The total cost of wages paid to workers directly involved in the production of goods or services, excluding benefits and overtime.