Find the Range f(x)=-x+3 if x<1; 3x-1 if x>=1

$f (x) = {\begin{cases} - x + 3 & x < 1 \\ 3 x - 1 & x \geq 1 \end{cases}$

Step 1

The range is the set of all valid $y$ values. Use the graph to find the range.