Final Answer:
The graph of the function
is shown below, indicating its cubic nature with a shift of 2 units to the right. The inverse function
is also depicted on the same grid.
Step-by-step explanation:
The function
represents a cubic function with a horizontal shift of 2 units to the right. The cube exponent indicates that the function has three roots, and the shift to the right implies that the curve is translated horizontally.
To graph the inverse function
you can reflect the points of
across the line
. This reflection swaps the x and y coordinates, effectively finding the inverse. The resulting graph represents the reflection of the original cubic function across the line
.
Government land use controls play a crucial role in shaping the development and organization of urban and rural spaces. A city or country's master plan, which outlines the framework for land use, zoning regulations, and development guidelines, falls under the category of these controls.
The authority for implementing such plans is primarily derived from the government's police power. Police power refers to the government's inherent authority to regulate and control certain aspects of public life to ensure the health, safety, and welfare of its citizens.
This power grants the government the ability to create and enforce rules and regulations that prevent activities or developments that might be detrimental to the well-being of the community. In the context of urban planning and land use, master plans are formulated to guide the growth and development of a city or country in a way that promotes public safety, efficient infrastructure, and overall quality of life.
In summary, the correct answer is A. The graph of the function
is shown below, indicating its cubic nature with a shift of 2 units to the right. The inverse function \(f^{-1}(x)\) is also depicted on the same grid.