Answers:
The vertical asymptote is x = 0
The horizontal asymptote is y = 0
The domain is all real nonzero numbers
The range is all nonzero real numbers
EXPLANATIONS
Given the function f(x) = c/x
c is a real non-zero number
To determine the
vertical asymptote, we set the denominator equal
to 0
f(x)=c/x
The denominator is x
x = 0
To determine the horizontal asymptote, we have to compare the degrees of the polynomials in the
numerator and denominator.
The numerator contains a zero degree
polynomial
The denominator contains a first degree
polynomial.
<span>
The polynomial in the numerator is of a lower degree than in the
denominator, therefore, the horizontal asymptote is located at y=0.</span>
Since the vertical asymptote is at x = 0, the domain is all
real numbers except for x = 0
Since the horizontal asymptote is at y = 0, the range is all
real numbers except for y = 0
