Identify the Function's Extreme Values in the Given Domain, and Say

question 347

Multiple Choice

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
- $$f ( x ) = x ^ { 2 } - 4 x , - \infty < x \leq 4$$

• A) local and absolute minimum: -4 at x = 2; local and absolute maximum: 0 at x = 4
• B) local minimum: -4 at x = 2; local and absolute maximum: 0 at x = 4
• C) local minimum: 0 at x = 4; local and absolute maximum:-4 at x = 2
• D) local and absolute minimum: -4 at x = 2; local maximum: 0 at x = 4

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Definitions:

Indifference Curve

A graphical representation in microeconomic theory of all possible bundles of goods between which a consumer is indifferent, showing preferences of equal utility.

Same Amount Of X And Y

This refers to a situation or condition where quantities or magnitudes of two variables, X and Y, are equal.

Utility Function

A mathematical representation of how a consumer derives satisfaction from consuming goods and services, depending on the quantity consumed.

Budget Constraint

Represents the combinations of goods and services a consumer can purchase given their income and the prices of those goods and services.