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

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: $\left( - \infty , \frac { 1 } { 2 } \right)$