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

question 133

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

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Definitions:

XIO

An instruction used in ladder logic programming that represents "Examine if Open," checking if a specific condition is not met or a device is inactive.

Contact Instructions

Fundamental instructions in PLC programming that mimic electrical contacts, used to control the flow of logic based on conditions being true or false.

Module Address

A module address indicates the specific location or identification of a module within a system, used for addressing and communication purposes.