Determine Whether the Function Is Periodic $$f ( x ) = 2 x + \sin 5 x$$

question 381

Multiple Choice

Determine whether the function is periodic. If it is periodic, find the period.
- $$f ( x ) = 2 x + \sin 5 x$$

• A) Not periodic
• B) \(2 \pi\)
• C) \(10 \pi\)
• D) \(\frac { 2 \pi } { 5 }\)

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Definitions:

Inefficient

The condition where resources are not used in the best possible way, often leading to waste and loss of potential gain.

Economy

A system consisting of the production, trade, distribution, and consumption of goods and services by different agents in a given geographical location.

Bowed Shape

A curve representing the relationship between two variables where the curve slopes outward, commonly used to describe certain types of economic functions.

Production Possibilities Frontiers

A figure that depicts the absolute maximum production capacities for two goods, based on a set of inputs that consist of resources and various additional components.