Question

identify the domain of this problem situation. answer domain: 0 ≤ x ≤ 12 what is the domain of each piece of the function? answer first piece: ≤ x ≤ second piece: < x ≤ third piece: < x ≤

Explanation:

Step1: Given overall domain

We know the overall domain is \(0\leq x\leq12\). But without the function details, we assume a general split for a multi - piece function. A common way is to split it evenly if no other information is given.

Step2: Calculate domain for first piece

If we split the domain \(0\leq x\leq12\) into three approximately equal parts, for the first piece, we can take \(0\leq x\leq4\).

Step3: Calculate domain for second piece

The second piece would then start just after the first piece ends, so \(4 < x\leq8\).

Step4: Calculate domain for third piece

The third piece starts just after the second piece ends, so \(8 < x\leq12\).

Answer:

First piece: \(0\leq x\leq4\)
Second piece: \(4 < x\leq8\)
Third piece: \(8 < x\leq12\)