Use a Graphing Calculator to Graph the Function Using the Given

question 153

Multiple Choice

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - x + 3 ; [ - 2,4 ] \text { by } [ - 20,20 ]$$

• A) not one-to-one
• B) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } - 3 } - \mathrm { x }\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 3 }\)
• D) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } - 3 }\)

---

Definitions:

Specialization And Trade

The economic practice where individuals or entities focus on a narrow area of expertise to increase efficiency and trade with others for different goods or services.

Consume More

The action or tendency of increasing the use or consumption of goods and services.

Goods

Tangible products that satisfy human wants or needs.

Production Possibilities Frontier

A curve that represents the maximum productive capacity of an economy when all resources are fully utilized.