Answer:
A piecewise function.
Step-by-step explanation:
The problem you showed is a <em>piecewise function.</em>
In this problem, you have to plug in 3 for the value x.
However, if you take a look at the conditions that value x has, it never says that x can equal 3. <em>Thus, this function cannot be true.</em>
<em>Way to check this input is undefined: </em>
Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.
According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.