Determine Whether or Not the Function $g ( x ) = 1 - x ^ { 2 } , x \geq 0$

question 48

Essay

Determine whether or not the function $g ( x ) = 1 - x ^ { 2 } , x \geq 0$ is one-to-one.

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Definitions:

Acid Rain

Precipitation that is significantly more acidic than normal due to atmospheric pollution, leading to harmful effects on the environment and structures.

Ecological Footprint

A metric that quantifies the amount of nature's resources an individual, community or activity consumes relative to the Earth's capacity to regenerate those resources.

Canada

A country in North America known for its vast landscapes, multicultural diversity, and as the second-largest country in the world by area.

Netherlands

A country located in Northwestern Europe, known for its flat landscape, canals, tulip fields, windmills, and cycling routes.