Find the Domain of the Function $$f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \neq 0 \\2 & \text { if } x = 0\end{array} \right.$$

question 37

Multiple Choice

Find the domain of the function.
- $$f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \neq 0 \\2 & \text { if } x = 0\end{array} \right.$$

• A) \(\{ x \mid x \neq 0 \}\)
• B) all real numbers
• C) \(\{ x \mid x \leq 0 \}\)
• D) \(\{ 0 \}\)

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Definitions:

Difference Threshold

The minimum difference in stimulation that a person can detect 50% of the time, also known as the "just noticeable difference."

Auditory Convergence

A phenomenon in which sounds from different sources merge into a single perceived auditory event.

Refractory Threshold

The level of stimulus intensity or the period following a nerve impulse during which a nerve or muscle is unresponsive to further stimulation.

Fovea

A small depression in the retina of the eye where visual acuity is highest, due to the high density of cones (color-receiving cells).