Answer:
C = D all real Numbers ; R y>= -2
Step-by-step explanation:
for discover the domain we have to look the x axis and check for what x the graph exist. If we look this graph we can see that there are two solid lines.
the two arrows indicate that the graph continues both to left and to the right
so the domain is all real numbers
for the range we have to check the y axis. If we look at the graph we can see that under -2 there is nothing, while up -2 the graph continues to raise,
so the range is y>= -2
so the final answer is C
The answer is b or d you choose
Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)
Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2
Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).
So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.
y = x, if -2 < x < 3.
Check the picture below. So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.
