Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 2 , & x < 3 \\ x - 4 , & x \geq 3 \end{array} \right.$

question 47

Multiple Choice

Find a formula for the function graphed.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 2 , & x < 3 \\ x - 4 , & x \geq 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 2 , & x < 3 \\ 4 - x , & x > 3 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 , & x < 0 \\ 4 - x , & x \geq 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 , & x \leq 3 \\ 4 - x , & x > 3 \end{array} \right.\)

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Definitions:

Two-Point Discrimination

The ability to discern two separate points of contact on the skin, a measure of tactile sensory resolution.

Dermal Papillae

Small, nipple-like extensions of the dermis into the epidermis that increase surface area for oxygen and nutrient transfer between these layers.

Phasic Receptors

Sensory receptors that quickly respond to stimuli but then adapt and decrease their response over time.

Proprioceptors

Sensory receptors located in muscles, tendons, and joint capsules that provide information about body position and movement.