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

question 8

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| 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)=(x3)(x1)(x+2)f ( x ) = ( x - 3 ) ( x - 1 ) ( x + 2 )

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Definitions:

Immigration

The movement of people into a country in which they are not natives or where they do not possess citizenship in order to settle or reside there.

Domestic Output

The collective worth of every product and service generated inside a nation's boundaries over a specific duration.

Total Wage Bill

The cumulative amount of money a firm pays to its employees in wages over a specific period.

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