Recall that a rational function:

has a vertical asymptote at x₀ if and only if:

Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:

Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

Finally, since the rational function has y-intercept at (0,2) we get that:

Simplifying the above equation we get:

Dividing the above equation by 4 we get:

Therefore, the rational function that satisfies the given conditions is:

Answer:
The numerator is:

The denominator is:
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
X= -2 or X= 3 either one works.
No no no no no no no no no no no no
$53.40 is 4lb of crab legs
Bro you just gotta multiply $13.35x4=$53.40