Answer:
=
Step-by-step explanation:
The given answer would be five
The domain is the set of all point where you can evaluate the function.
As you can see, the first piece is defined from -infinity to 2 (included).
The second piece is defined from 2 to 6 (excluded).
The third piece is defined from 6 (excluded) to +infinity.
So, the domain of the function is composed by all the real numbers which are not 6:
![(-\infty,6)\cup(6,\infty) = \mathbb{R}\setminus\{6\} = \{x \in \mathbb{R}\ :\ x\neq 6\}](https://tex.z-dn.net/?f=%28-%5Cinfty%2C6%29%5Ccup%286%2C%5Cinfty%29%20%3D%20%5Cmathbb%7BR%7D%5Csetminus%5C%7B6%5C%7D%20%3D%20%5C%7Bx%20%5Cin%20%5Cmathbb%7BR%7D%5C%20%3A%5C%20x%5Cneq%206%5C%7D)
As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.
The second piece is constantly equal to 2, so it adds nothing.
The third piece spans the y axis from -2 to -infinity, so the range is
![(-\infty,-2)\cup[0,\infty) = \mathbb{R}\setminus [2,0) = \{x \in \mathbb{R}\ :\ x\geq 0\ \lor\ x](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%29%5Ccup%5B0%2C%5Cinfty%29%20%3D%20%5Cmathbb%7BR%7D%5Csetminus%20%5B2%2C0%29%20%3D%20%5C%7Bx%20%5Cin%20%5Cmathbb%7BR%7D%5C%20%3A%5C%20x%5Cgeq%200%5C%20%5Clor%5C%20x%3C-2%5C%7D)
Answer:
5
Step-by-step explanation:
5 is a number, an expression is, (in mathematics), an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.