Determine Whether the Rule Describes a Function with the Given

question 183

Short Answer

determine whether the rule describes a function with the given domain and codomain.
- $$f : \mathbf { R } \rightarrow \mathbf { R } \text { where } f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } & \text { if } x \leq 2 \\x - 1 & \text { if } x \geq 4\end{array} \right.$$

---

Definitions:

Midbrain

The part of the brain containing structures that are involved in relaying information between other brain regions and in regulating levels of alertness.

Thalamus

A structure in the forebrain involved in relaying information, especially to the cerebral cortex.

Medulla Oblongata

A section at the lower part of the brainstem controlling vital life functions such as breathing and heart rate.

Auditory Information

Data or knowledge received and processed through the sense of hearing.