$\text { Find an equation of the line that is tangent to the graph of } f \text { and parallel to the given }$

question 13

Multiple Choice

$\text { Find an equation of the line that is tangent to the graph of } f \text { and parallel to the given }$ line.
$f ( x ) = 3 x ^ { 3 } , 9 x - y + 9 = 0$

• A) \(y = - 9 x + 6\)
• B) \(y = - 3 x + 6\)
• C) \(y = 9 x - 3\) and \(y = 9 x + 3\)
• D) \(y = - 9 x - 6\)
• E) \(y = 9 x - 6\) and \(y = 9 x + 6\)

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Definitions:

Marginal Utility Data

Marginal utility data refers to information that describes the change in utility or satisfaction a consumer derives from consuming one additional unit of a good or service.

Utility Maximization

The process by which individuals allocate their resources to maximize their subjective well-being or satisfaction.

Marginal Utility

The change in total satisfaction or utility that a consumer receives from consuming one additional unit of a good or service.

Utility Maximization

An economic principle suggesting that individuals or firms seek to allocate their resources in a way that maximizes their utility or satisfaction.