Analyze the Graph of the Given Function F as Follows $| x |$

question 54

Essay

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:

Internal Data Sources

Sources of data that originate from within the organization, including sales records, customer databases, and financial documents.

Simple Random Sampling

A type of sampling in which everyone in the target population has an equal chance of being selected.

Internal Company Data

Information collected from within an organization, used for analysis, decision-making, and strategic planning.

Competitive Intelligence

The systematic gathering of data about strategies that direct and indirect competitors are pursuing in terms of new-product development and the marketing mix.