Graph the Function $f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 & \text { if } x \leq 0 \\ \frac { 1 } { 2 } x - 4 & \text { if } x > 0 \end{array} \right.$

question 153

Multiple Choice

Graph the function. State the domain and range of the function.
- $f ( x ) = \left\{ \begin{array} { l l } 4 x + 1 & \text { if } x \leq 0 \\ \frac { 1 } { 2 } x - 4 & \text { if } x > 0 \end{array} \right.$

• A) domain: \(( - \infty , 0 ) \cup ( 0 , \infty )\); range: \(( - \infty , \infty )\)
• B) domain: \(( - \infty , \infty )\); range: \(( - \infty , \infty )\)
• C) domain: \(( - \infty , \infty )\); range: \(( - 4 , \infty )\)
• D) domain: \(( - \infty , \infty )\); range: \(( - 4 , \infty )\)

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Definitions:

Availability Heuristic

A quick-thinking process that depends on the first examples that pop into someone's head when they are considering a particular subject, idea, approach, or choice.

Relative Comparisons

The act of evaluating something in relation to another similar item.

Availability Heuristic

A cognitive shortcut that relies on the immediate examples that come to a person’s mind when evaluating a specific topic, concept, method or decision.

Representative Heuristic

A mental shortcut that involves making a probability judgement by comparing an object or event to a prototype of the object or event.