Find the area of the region bounded by the curves y2 = x, y – 4 = x, y = –2, and y = 1.

Question

anonymous · Answer

help anyone? ive done these, but this is particularly hard.

mathmale · Answer

have you tried sketching the region described here?

anonymous · Answer

yes. the graph made it more confusing because there are 4 function but there are only 3 intersections. which i dont get because it doesnt create a "bounded" region.

mathmale · Answer

First I'll graph y=-2 and then y=1:|dw:1395868552650:dw|

mathmale · Answer

Next:  Do you recognize x=y-4?  What does this represent (in terms of shape and orientation)?

anonymous · Answer

yes, that's a linear function

mathmale · Answer

Yes:  x=y-4 is equivalent to y=x+4, as you could verify if you wanted to.
Do you happen to have a graphing calculator?  If so, are you familiar with its graphing capabilities?

anonymous · Answer

|dw:1395868848906:dw|