Based on the Graph, Find the Range of Y = $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.$

question 201

Multiple Choice

Based on the graph, find the range of y = f(x) .
- $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 3 } x & \text { if } x \neq 0 \\6 & \text { if } x = 0\end{array} \right.$

• A) \(( - \infty , \infty )\)
• B) \(( - \infty , 0 )\) or \(\{ 0 \}\) or \(( 0 , \infty )\)
• C) \(( - 10,10 )\)
• D) \(( - \infty , 0 )\) or \(( 0 , \infty )\)

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Definitions:

Basal Ganglia

A group of nuclei in the brain involved in controlling movement and coordination, as well as playing a role in learning, emotional response, and habit formation.

Cerebellum

A region of the brain that plays a vital role in motor control, and may also be involved in some cognitive functions like attention and language.

Temporal Lobe

A region of the brain responsible for processing auditory information and is involved in speech, memory, and emotions.

Amygdala

A structure in the brain that is involved in emotional processing, especially fear and pleasure.