Answers:
The vertical asymptote is located at x = 0
The horizontal asymptote is identified as y = 0
The domain encompasses all real nonzero values
The range includes all nonzero real values
EXPLANATIONS
Given the function f(x) = c/x
c represents a non-zero real number
To find the vertical asymptote, we equate the denominator to 0
f(x)=c/x
The denominator is x
Setting x = 0
To establish the horizontal asymptote, we must compare the polynomial degrees in the numerator and denominator.
The numerator contains a polynomial of degree zero
While the denominator has a polynomial of degree one.
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Since the numerator's polynomial degree is less than that of the denominator, the horizontal asymptote is at y=0.</span>
Because the vertical asymptote is x = 0, the domain consists of all real numbers except x = 0
With the horizontal asymptote being y = 0, the range is all real numbers excluding y = 0
