Answer: Last option
Step-by-step explanation:
Note that when the point is not included in the function is marked with an empty circle, and when the point is included in the function is marked with a filled circle.
From the interval [tex]0\leq x <3[/tex] f(x) is represented by the slanted line [tex]-x +4[/tex] that cuts the y-axis at [tex]y = 4[/tex]
The starting point of the line must be filled and the end point must be empty.
Then, from the interval [tex]x \geq 3[/tex] f(x) is defined by the horizontal line [tex]y = 6[/tex]. The starting point of this line is marked with a filled circle because it includes the point [tex]x = 3[/tex]
Therefore the correct option is option D or the last graph (from left to right)
