The graph for the functions; -1 if x < 0, 1. f(x) = 2x if 0 ≤ x ≤ 3, 6 if x > 3 is attached.
How to graph functions?
These are the graph of the piecewise function f(x) based on the given conditions:
f(x) = -1 if x < 0 (shown in red)
f(x) = 2x if 0 ≤ x ≤ 3 (shown in green)
f(x) = 6 if x > 3 (shown in blue)
The domain of this function is all real numbers since there are no restrictions on x values where the function isn't defined.
The range of this function is -1, all values from 0 to 6 (due to the 2x portion from 0 to 3), and 6. So it would be all real numbers from -1 to 6 inclusive.
There are marked points at (0, f(0)) and (3, f(3)) to indicate the transition between different parts of the piecewise function.