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:

Reflectiveness

The capacity to examine and analyze one's own thoughts, feelings, and actions critically and thoughtfully.

Field Dependence

a cognitive style characterized by a reliance on external frames of reference and the tendency to perceive and interpret information in terms of the total field.

Field Independence

A cognitive style in which individuals can easily separate details from the surrounding context, often performing well in tasks requiring finding a figure embedded in a background.

Number Facility

The ability to easily understand numbers and mathematical concepts, including performing mathematical operations.