Write an Equation for the Piecewise Function $f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \leq 0 \\- x ^ { 2 } , & \text { for } x > 0\end{array} \right.$

question 66

Multiple Choice

Write an equation for the piecewise function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \leq 0 \\ - x ^ { 2 } , & \text { for } x > 0 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\ \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\ - \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } - x + 3 , & \text { for } x \leq 0 \\ - \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)

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Definitions:

20/200

A measure of visual acuity denoting that what the average person can see from 200 feet away, a person with this level of acuity can only see from 20 feet away.

20/600

20/600 refers to a level of visual acuity where an individual can only see at 20 feet what a person with normal vision can see at 600 feet, indicating severe visual impairment.

Vision at Birth

The initial state of visual capability in newborns, which is limited but improves rapidly during the first few months.

Resistant

The quality of not yielding under pressure or the capacity to withstand something, such as a substance not affected by a chemical.