SOLUTION: Marcus and Juan designed a cap for their racing club. The caps were such a hit, their friends convinced them to start their own business. Totalk start-up costs are $500. They estim

Question 32439: Marcus and Juan designed a cap for their racing club. The caps were such a hit, their friends convinced them to start their own business. Totalk start-up costs are $500. They estimate that it will cost them $3.00 to print each cap. The function C(x)= 500+3x/x represents cost per cap when x number of caps are produced.
What is the vertical asymptote?
Whast is the horizontal asymptote?
What is the reasonable domain and range?
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
The function is C(x)= (500+3x)/x (confirm placement of parenthesis)
Same as 500/x + 3
Vertical Asymptote can be found by equating the denominator with zero
=> vertical asymptote: x=0
Horizontal Asymptote: as x gets larger, 500/x approaches to zero. Thus f(x) = 3 is the horizontal asymptote:
Reasonable domain: x belongs to (-infinity, 0) U (0, infinity)
Reasonable range: f(x) could be any real number
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