Explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why. f(x) = { -x + 3, x < 2, 3, 2 < x < 4, 4 - 2x, x > 4

Our piecewise-defined function consist of three sub functions.

The first one is

-x+3, for domain x<2

if we put 2, -2+3=1 so at (2,1) function is not defined and we have empty circle at this point.

The second one is

3, for the domain 2<x<4

3 is a constant function for the domain 2<x<4 and not defined at x=2 and x=4, open circle at both points.

The third one is

4-2x, for the domain x>4

if we put 4, 4-2(4)=-4 so at (4,-4) function is not defined and we have empty circle at this point.

So,

our piecewise defined function is discontinuous.

The graph is attached below.

took the test it's 94

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.