SHOW ALL WORK PLEASE!

find the domain of the function and identify any vertical and horizontal asymptotes.

1. f(x) = 4/x^2

2. f(x) = x^2+x-2/2x^2+5x+2

identify all intercepts (x and y), find any vertical and horizontal asymptotes, and sketch the graph of the rational function. show all work!

3. f(x) = x/x^2-9

4. f(x) = x^2+5/x

find all zeros (if any) of the rational function.

5. f(x) = 1-(3/x-3)

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

How many zeros does the function f(x)=4x3-x2+1 have

The jewelry store is having a sale. necklaces that were regularly priced at $23.50 are on sale for $18.80. what is the percentage of decrease in the price of necklaces?