Use a Graphing Calculator to Graph the Function Using the Given

question 89

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.
- $$f ( x ) = x ^ { 4 } - 6 x ^ { 2 } + 5 ; [ - 3,3 ] \text { by } [ - 40,40 ]$$

• A) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 4 ] { 6 \mathrm { x } ^ { 2 } - 5 }\)
• B) one-to-one; \(f ^ { - 1 } ( x ) = \sqrt [ 4 ] { x - 5 } + 6 x ^ { 2 }\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 4 ] { \mathrm { x } - 5 }\)
• D) not one-to-one

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Definitions:

Variable Product Cost

Refers to the costs that vary directly with the level of production output, including costs like raw materials and direct labor.

Contribution Margin

The amount remaining from sales revenue after variable costs have been subtracted, used to cover fixed costs and to generate profit.

Production Capacity

The maximum amount of goods or services that can be produced in a given time period with available resources.

Materials Markup

An amount added to the cost of materials to cover overhead and profit in the pricing of products.