Consider the function f(x) =c/x
, where c is a nonzero real number.

-The vertical asymptote _______.
-The horizontal asymptote _______.
-The domain _______.
-The range _______.

Respuesta :

Answer:

x=0

y=0

is all nonzero real numbers

is all nonzero real numbers

Step-by-step explanation:

The required information about the function are given as follows;

  • The vertical asymptote at; x = 0.
  • The horizontal asymptote y= 0
  • The domain; all non-zero numbers
  • The range; all non-zero numbers

Asymptotes of functions

An asymptote of a function may be it's vertical or horizontal asymptote.

In which ever situation, the asymptote is a point that corresponds to undefined value x or y as the case may be.

Hence, in the function; f(x) =c/x where c is a nonzero real number.

  • the vertical asymptote is at; point x= 0.
  • The horizontal asymptote is at; point y= 0

On this note, the domain and range of the function is given by a set of all non-zero numbers.

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