Find the Domain and Range of the Function $$f ( x ) = 5 | x | + \sin x$$

question 145

Multiple Choice

Find the domain and range of the function.
- $$f ( x ) = 5 | x | + \sin x$$

• A) Domain: \([ 0 , \infty )\); range: \(( - \infty , \infty )\)
• B) Domain: \(( - \infty , \infty )\); range: \(( - \infty , \infty )\)
• C) Domain: \(( - \infty , \infty )\); range: \([ 0 , \infty )\)
• D) Domain: \([ 0 , \infty )\); range: \([ 0 , \infty )\)

Define and interpret key concepts such as Engel curves, indifference curves, and budget lines.

Understand the nature of goods (normal, inferior, Giffen) through consumer's reactions to income changes.

Apply the concept of utility maximization to solve for quantities demanded of goods.

Analyze the effects of specific spending patterns or consumption constraints on utility and choice.

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