Determine Whether the Graph Is That of a Function $\{x \mid x \leq 0\}$

question 251

Multiple Choice

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if
any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
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• A) function domain: \( \{x \mid x \leq 0\} \) range: \( \{y \mid y \geq-2\} \) intercepts: \( (-2,0),(0,-2),(2,0) \) symmetry: \( y \)-axis
• B) function domain: \( \{x \mid x \geq-2\} \) range: \( \{y \mid y \leq 0\} \) intercepts: \( (-2,0),(0,-2),(2,0) \) symmetry: none
• C) function domain: all real numbers range: all real numbers intercepts: \( (-2,0),(0,-2),(2,0) \) symmetry: none
• D) \(\text { not a function }\)

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Definitions:

Linguistic Determinism

The hypothesis that language shapes and limits thought processes and perceptions of reality.

Language Acquisition

The process by which humans learn to perceive, recognize, and understand language, including both spoken and written communication, from infancy through adulthood.

Bilingual Advantage

The cognitive, social, and psychological benefits gained from being fluent in two languages.

Inhibit Language

The suppression or reduction of language, often referring to an individual's reduced capacity or unwillingness to communicate verbally.