Question

consider the function \\(f(x) = \frac{c}{x}\\), where \\(c\\) is a nonzero real number.

the vertical asymptote is \\(x = 0\\)

the horizontal asymptote is \\(y = 0\\)

the domain dropdown

the range dropdown

Explanation:

Analyze the function and its asymptotes

Using the Vertical Asymptotes and Horizontal Asymptotes knowledge points

$$
LATEXBLOCK0
$$

Determine the domain of the function

Using the Domain of Rational Functions knowledge point

$$
LATEXBLOCK1
$$

Determine the range of the function

Using the Range of Rational Functions knowledge point

$$
LATEXBLOCK2
$$

Answer:

Consider the function \(f(x) = \frac{c}{x}\), where \(c\) is a nonzero real number.

The vertical asymptote <blank>is \(x = 0\)</blank>

The horizontal asymptote <blank>is \(y = 0\)</blank>

The domain <blank>is all real numbers except 0</blank>

The range <blank>is all real numbers except 0</blank>