Consider the function f(x)=c/x Where c is a nonzero real number brainly

The vertical asymptote(pick from choices):
Is x=0
Is x=c
Is y=0
Is y=c

The horizontal asymptote(pick from choices):
Is x=0
Is x=c
Is y=0
Is y=c

The domain(pick from choices):
Cannot be determined
Is all nonzero real numbers
Is all real numbers excepts c
Is all real numbers

The range(pick from choices):
Cannot be determined
Is all nonzero real numbers
Is all real numbers except c
Is all real numbers

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

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https://brainly.com/question/22161575

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