Respuesta :
Answer:
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
Step-by-step explanation: edg 2020
The domain of a function is the set of all input values of the function
- The vertical asymptote is x = 0
- The horizontal asymptote is y = 0
- The domain is all nonzero real numbers
- The range is all nonzero real numbers
The function is given as:
[tex]\mathbf{f(x) = \frac{c}{x}}[/tex]
(a) The vertical asymptote
The value of x cannot be 0.
So, the vertical asymptote is:
[tex]\mathbf{x = 0}[/tex]
(b) The horizontal asymptote
The value of c cannot be 0.
So, the function cannot be 0
So, the horizontal asymptote is:
[tex]\mathbf{y = 0}[/tex]
(c) The domain
The value of x cannot be 0.
This means that, the possible values of x is nonzero.
So, the domain: Is all nonzero real numbers
(d) The range
The value of c cannot be 0.
So, the function cannot be 0
The range: Is all nonzero real numbers
Read more about functions at:
https://brainly.com/question/22161575