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

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 | $| x |$ (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.
- $$f ( x ) = ( x - 3 ) ( x - 1 ) ( x + 2 )$$

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Definitions:

Market Basket

A fixed set of goods and services used to monitor changes in price levels and purchasing power over time, often used in calculating inflation.

Exchange Rate

The price at which one country's currency can be exchanged for another country's currency.

Purchasing Power Parity

A theory that compares different currencies through a "basket of goods" approach, aiming to evaluate the relative value of currencies.

Exchange Rates

The rate at which one currency can be exchanged for another currency, affecting international trade and economic transactions.