Alarge coffee urn dispenses coffee at a hospital cafeteria. the cafeteria is open from 6 am until 7 pm daily. the rate at which coffee is added to the urn is modeled by the function e(x)=3x3+20 , where the rate is measured in cups of coffee per hour since the cafeteria opened. the rate at which coffee is dispensed from the urn is modeled by the function l(x)=5x2+10 , where the rate is measured in cups of coffee per hour since the cafeteria opened. what does (e−l)(4) mean in this situation?

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.