Give the Domain and Range for the Rational Function $$f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } }$$

question 68

Multiple Choice

Give the domain and range for the rational function. Use interval notation.
- $$f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } }$$

• A) Domain: \(( - \infty , - 4 ) \cup ( - 4 , \infty ) ;\) Range: \(( 0 , \infty )\)
• B) Domain: \(( - \infty , - 4 ) \cup ( - 4 , \infty )\); Range: \(( - \infty , \infty )\)
• C) Domain: \(( - \infty , - 4 ) \cup ( - 4 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) Domain: \(( - \infty , 4 ) \cup ( 4 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)

Gain proficiency in writing and recognizing the standard forms of circles' equations.

Master the concept of deriving and interpreting the standard forms of ellipses' equations.

Develop the ability to identify key features of conic sections such as center, radius, vertices, co-vertices, and foci.

Enhance skills in graphing equations of parabolas, circles, and ellipses.

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Definitions:

Total Variable Costs

All costs that vary with the level of production or sales, including materials, labor, and overhead expenses.

Market Segment

A subgroup of a larger market defined by its own unique preferences, characteristics, or needs.

Contribution Margin

The amount of revenue remaining after deducting variable costs, which contributes to covering fixed costs and generating profit.

Absorption Costing

A method of cost accounting that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed overhead - in the cost of a product.