Use the Given Information to
A $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } - 2 & \text { for } x \leq 1 \\ \frac { 1 } { 2 } x & \text { for } x > 1 \end{array} \right.$

question 291

Multiple Choice

Use the given information to
a. Graph the function.
b. Write the domain in interval notation.
c. Write the range in interval notation.
- $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } - 2 & \text { for } x \leq 1 \\ \frac { 1 } { 2 } x & \text { for } x > 1 \end{array} \right.$

• A) domain: \(( - \infty , \infty )\) range: \(( - \infty , - 2 ) \cup \left( \frac { 1 } { 2 } , \infty \right)\)
• B) domain: \(( - \infty , \infty )\) range: \(( - \infty , - 2 ) \cup \left( \frac { 1 } { 2 } , \infty \right)\)
• C) domain: \(( - \infty , \infty )\) range: \(( - \infty , \infty )\)
• D) domain: \(( - \infty , \infty )\) range: \(\left( - \infty , \frac { 1 } { 2 } \right)\)

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Definitions:

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The cost of forgoing the next best alternative when making a decision, representing the benefits one could have received by taking an alternative action.

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