Write the Word or Phrase That Best Completes Each Statement $$f ( x ) = x ^ { 3 } - 0.4 x ^ { 2 } - 2.5861 x + 3.0912$$

question 237

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.
- $$f ( x ) = x ^ { 3 } - 0.4 x ^ { 2 } - 2.5861 x + 3.0912$$

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Definitions:

Review Session

A meeting or class session specifically devoted to revising or summarizing the main points of a subject or material previously studied.

Cheerful Outlook

A positive mindset that typically leads to optimistic interpretations of situations and events.

Exercise

Physical activity that is planned, structured, and repetitive for the purpose of conditioning the body.

Independent Variable

The variable that is manipulated in an experiment to test its effects on the dependent variable.