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

question 72

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

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Definitions:

Jobs

Individual units or projects within job costing systems, where costs are tracked separately to determine profitability.

Meals

Food that is prepared and served to individuals or groups, often at set times of day.

Patient-Visits

A measure used in healthcare management to count the number of times patients receive clinical services.

Static Budget

A budget set for a specific level of activity that does not change, even if actual levels of activity change.