Graph the Line and Give the Domain and the Range $$4 x - 12 y = 24$$

question 96

Multiple Choice

Graph the line and give the domain and the range.
- $$4 x - 12 y = 24$$

• A) \(D = ( - \infty , \infty ) , R = ( - \infty , \infty )\)
• B) \(D = ( - \infty , \infty ) , R = ( - \infty , \infty )\)
• C) \(\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )\)
• D) \(\mathrm { D } = ( - \infty , \infty ) , \mathrm { R } = ( - \infty , \infty )\)

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Definitions:

Hicksian Substitution Effect

Alternative to the Slutsky equation for decomposing price changes without recourse to indifference curves.

Indifference Curves

A graph showing different bundles of goods between which a consumer is indifferent.

Lagrangian

Function to be maximized or minimized, plus a variable (the Lagrange multiplier) multiplied by the constraint.

Lagrange Multiplier

A technique used in constrained optimization problems to find the maximum or minimum of a function subject to constraints.