SOLUTION: I have 2 questions: 1. What are the asymptotes of the functions f(x)=3^xn and g(x)= log52x ??? (Would this be a vertical asymptote? Would the denominator be 1?) 2. A cell divi

Question 149988: I have 2 questions:
1. What are the asymptotes of the functions f(x)=3^xn and g(x)= log52x ???
(Would this be a vertical asymptote? Would the denominator be 1?)
2. A cell divides into 2 identical copies every 4 minutes. How many cells will exist after 3 hours?
Thanks sooooooooooooo much for your help! I have this week and next and this class will be over, I've never felt so dumb in all my life! I can't find anything in my text about this - I am doing this as an online class, so there is very little help!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
1. for f(x)=3^xn __ at x=0, f(x)=1 __ as x gets more negative, f(x) approaches zero (negative x-axis is horizontal asymptote)
__ no asymptote for positive x

for g(x)=log52x __ as x approaches zero, g(x) approaches -∞ (negative y-axis is vertical asymptote)
__ logarithms are not defined for negative arguments (negative numbers don't have logs)
__ no asymptote for positive x

2. there are 45 (180/4) 4 min periods in 3 hr __ the cells are doubling every 4 min
__ the number of cells after 3 hrs would be 2^45 __ 35184372088832 (calculators are useful)
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