Question 5 (essay worth 2 points) give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at x = 2 and x = 1.

The numerator polynomial must have a smaller degree than the denominator polynomial. The denominator polynomial must have factors of  and , but neither of these factors can appear in the numerator polynomial.

                                                hope it helps

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

idkidkdidkdkdidkx

step-by-step explanation:

nndncnd cnn

snddnd