Determine Whether the Rule Describes a Function with the Given

question 41

Short Answer

determine whether the rule describes a function with the given domain and codomain.
- $$G : \mathbf { R } \rightarrow \mathbf { R } \text { where } G ( x ) = \left\{ \begin{array} { l l } x + 2 & \text { if } x \geq 0 \\x - 1 & \text { if } x \leq 4\end{array} \right.$$

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Definitions:

No Charge

A state or condition where an object does not have a net electrical charge, meaning it has an equal number of protons and electrons.

Neutron

One of the principal parts of an atom. The neutron has no charge and is part of the nucleus.

Alternating Current

Electrical current that periodically reverses direction, in contrast to direct current that flows in only one direction.

Omnidirectional

Characteristic of an antenna that can send or receive signals equally well in all directions.