Which graph represents the piecewise-defined function?

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.

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

answer: h

step-by-step explanation: