Determine Whether the Graph Is That of a Function $\{y \mid y \leq-2$

question 136

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: all real numbers range: \( \{y \mid y \leq-2 \) or \( y \geq 2\} \) intercepts: \( (-2,0),(2,0) \) symmetry: \( \mathrm{y} \)-axis
• B) function domain: \( \{x \mid-2 \leq x \leq 2\} \) range: all real numbers intercepts: \( (-2,0),(2,0) \) symmetry: \( x \)-axis, \( y \)-axis
• C) function domain: \( \{x \mid x \leq-2 \) or \( x \geq 2\} \) range: all real numbers intercepts: \( (-2,0),(2,0) \) symmetry: \( \mathrm{x} \)-axis, \( \mathrm{y} \)-axis, origin
• D) \(\text { not a function }\)

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Definitions:

IUPAC Name

The systematic method of naming chemical compounds as recommended by the International Union of Pure and Applied Chemistry.

Alkane

Hydrocarbons with single bonds only, characterized by the formula CnH2n+2.

Sec-butyl

A radical or substituent derived from butane by removing a hydrogen atom from a secondary carbon, specifically the 2nd position.

IUPAC Name

The recommended approach for naming chemical compounds by the International Union of Pure and Applied Chemistry.