Question

How do I find the domain and range of piecewise functions?
Ex. f(x) = x + 4 if x < 2
{ 3 if 2 greater than or equal to x < 5 }
-6 + x if x is less than or equal to 5

Answer 1

\[\ \begin{matrix} \\ f_{(x)}= \\ \end{matrix} \Bigg\{ \begin{matrix} x +4 & & x<2\\ 3 & & \ \ \ \ \ \ \ 2≥x<5 \\ -6+x & & x≤5 \end{matrix} \]
should the last inequality be x≥5?

Answer 2

yes but how do i find the range?