Find the Axis of Symmetry of the Given Function $$f ( x ) = - x ^ { 2 } + 7 x - 5$$

question 66

Multiple Choice

Find the axis of symmetry of the given function.
- $$f ( x ) = - x ^ { 2 } + 7 x - 5$$

• A) \(x = 7\)
• B) \(x = \frac { 7 } { 8 }\)
• C) \(x = - \frac { 7 } { 2 }\)
• D) \(x = \frac { 7 } { 2 }\)

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Definitions:

Utility Function

A mathematical model in economics that represents consumer preferences over a set of goods and services, by assigning a utility value for each possible bundle of goods.

Convex Preferences

Preferences that express a consumer's desire for diversified bundles of goods over extreme bundles, depicted graphically as convex indifference curves.

Edgeworth Box

A diagram representing various distributions of resources, used to examine issues of allocation efficiency in economics.

Indifference Curves

Graphical representations showing combinations of two goods that give a consumer equal levels of satisfaction, indicating preferences.