The horizontal asymptote of a rational function tells us the limiting value of that function as it approaches infinity.
For a rational function to have a horizontal asymptote of

then,

The second condition is that,

Example are given in the graph above.
Here are some other examples,

Answer:
<u>37/8</u>
Step-by-step explanation:
we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.
5 1/2 = 11/10
in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)
11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer
11/2 - 1 = 9/2
we will now us the cup we subtracted from that and "give it to the kids"
1 = 8/8
so
8/8 - 7/8 = 1/8
so we have 1/8 leftover from that cup, so we can add that back
since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:
9/2 = 36/8
so
1/8 + 36/8 = 37/8
so since 37/8 cannot be simplified anymore, the answer is
<u>37/8</u>
September 19 , 2018 is the answer
A compass because youre just making two arcs