The x -intercepts of the function are the values of x where the graph cuts the x-axis. These are ;
x= 2 at {2,0}
x= 3 at {3,0}
x- intercepts { x=2, and x =3}
The y-intercept is where the graph cuts the y-axis. In this case is at : y=8
The range of a function is a set of all possible values of y resulting from the different values of x
In this case you have ;
at
x = 0 -------- y= 8
x= 1 -----------y= 3
x= 2------------y = 0
x=3 ------------y=-1
x=4 -------------y=5
x= -1, ------------y=3
The range is { -1, 0, 3,5 , 8}