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:

Disruptive Behavior

Actions in individuals, particularly children or adolescents, that interrupt social norms or expectations and can negatively impact surroundings.

Cognitive Change

The transformation or evolution in mental processes like thinking, reasoning, and remembering over time.

Applied Research

Research aimed at solving practical problems or answering specific questions rather than gaining theoretical knowledge; it has direct, immediate application.

Theoretical Research

Research based on theoretical concepts and frameworks, often without immediate practical application.