In problems 1-10, find the horizontal and vertical asymptotes of the graph of the function using algebraic techniques. You can use a graphing calculator to verify your answer, but not instead of the algebra. For #9 & 10, briefly describe in words why the functions have the asymptotes. f(x)=1/(x-2)^2
f(x)=1/x^3+3
f(x)=x^3-3x^2+5x-2
f(x) = x − 3/x + 3
f(x)=x^2/x^2-9
f(x)=1-x^2/x^2-2x+1
f(x)=x^2-4/x^4-16
f(x)=x(x-1)(x-2)/x^4-x^2
f(x)=e^x
f(x) = ln x
Find a function f(x), which has 2021 vertical asymptotes and 2 horizontal asymptotes. Explain your reasoning. Note: There are many correct answers.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

what is

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.