Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } x - 3 & \text { if } x \neq 3 \\ - 2 & \text { if } x = 3 \end{array} ; \right.$

question 473

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } x - 3 & \text { if } x \neq 3 \\ - 2 & \text { if } x = 3 \end{array} ; \right.\) Domain: \(( - \infty , \infty )\), Range: \(( - \infty , 3 ] \cup [ 3 , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 & \text { if } x \neq 3 \\ - 2 & \text { if } x = 3 \end{array} ; \right.\) Domain: \(( - \infty , \infty )\), Range: \(( - \infty , 3 ) \cup ( 3 , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 & \text { if } x \neq 3 \\ - 3 & \text { if } x = 3 \end{array} ; \right.\) Domain: \(( - \infty , 3 ] \cup [ 3 , \infty )\), Range: \(( - \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 & \text { if } x < 3 \\ 2 x + 3 & \text { if } x \geq 3 \end{array} ; \right.\) Domain: \(( - \infty , 3 ) \cup ( 3 , \infty )\), Range: \(( - \infty , \infty )\)

Examine the effects and mechanisms of positive psychology in fostering human strengths.

Understand the concept and requirements of negotiable instruments.

Explain the significance and operation of commercial paper in financial transactions.

Identify and differentiate between various types of negotiable instruments, including promissory notes, drafts, and checks.

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Definitions:

Primary Group

A group with strong emotional ties and bonds that endure over time. This type of group tends to be more informal and intimate than other groups that individuals belong to. See also Secondary group.

Secondary Group

A group that is formal and impersonal, often organized around instrumental goals. See also Primary group.

Ethnocentrism

In intergroup relations, the tendency to regard one’s own group as the center of everything and to evaluate other groups in reference to it; the tendency to regard one’s in-group as superior to all out-groups.

Goal Isomorphism

The concept of having converging or similar objectives across different individuals, groups, or systems.