Write the Equation of a Sine Function That Has the Given

question 121

Multiple Choice

Write the equation of a sine function that has the given characteristics.
-Amplitude: 5
Period: $\pi$
Phase Shift: - 3

• A) \(y = 5 \sin ( x - 3 )\)
• B) \(y = \sin ( 5 x + 3 )\)
• C) \(y = 5 \sin ( 2 x + 6 )\)
• D) \(y = 5 \sin \left( \frac { 1 } { 2 } x - 6 \right)\)

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Definitions:

Efficient Output Level

The quantity of goods or services produced where the marginal cost of production equals the marginal revenue received, leading to optimal allocation of resources.

Units

Standard quantities used to specify measurements and quantify the magnitude of physical quantities.

Perfect Competition

A market structure characterized by a large number of small firms, homogenous products, perfect information, and no barriers to entry or exit, leading to price-taking behavior.

Demand Curves

Graphical representations showing the relationship between the price of a good or service and the quantity of that good or service that consumers are willing and able to purchase at different prices.