Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.$

question 353

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.\); Domain: \(( - \infty - 3 ) \cup [ 4 , \infty )\), Range: \(\{ - 5,4 \}\)
• B) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.\) Domain: \(( - \infty - 3 ] \cup ( 4 , \infty )\), Range: \(\{ - 5,4 \}\)
• C) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.\) Domain: \(\{ - 5,4 \}\), Range: \(( - \infty - 3 ] \cup ( 4 , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.\); Domain: \(\{ - 5,4 \}\), Range: \(( - \infty - 3 ) \cup [ 4 , \infty )\)

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Definitions:

Melanosomes

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Melanin

A pigment produced by the melanocytes in the skin, hair, and eyes, responsible for the coloration and protection against ultraviolet radiation.

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The dermis is a layer of skin located beneath the epidermis, containing nerve endings, sweat glands, hair follicles, and blood vessels.