Answer with explanation:
We are given a piece-wise defined function as:
f(x)= -x+4 when 0≤x<3
and 6 when x ≥ 3
Clearly we see that the graph between 0 and 3 is a line with a negative slope since the coefficient of x is negative and at x=0 we have f(x)=4
i.e. the graph starts at (0,4)
Also, the graph is discontinuous at x=3
Since the left hand and right hand limit is not equal at x=3
The left hand limit at x=3 is: 1
and the right hand limit at x=3 is: 6
also the value of function at x=3 is: 6
The graph is a horizontal line y=6 for x ≥ 3
and also there is a closed circle at (3,6)
and open at (3,1)
The correct graph is attached to the circle.
