Question

the graph of the function has a vertical asymptote of x = 0 ✔ the graph of the function has a horizontal asymptote of y = 0 ✔ complete the domain of the function is all nonzero real numbers ✔ the range of the function is dropdown with options: all nonzero real numbers, all real numbers except 1, all real numbers f(x) = 1/x graph of the function done

Explanation:

Step1: Analyze the function \( y = \frac{1}{x} \)

For the range, we solve \( y=\frac{1}{x} \) for \( x \). We get \( x = \frac{1}{y} \).

Step2: Determine the values \( y \) can take

Since \( x=\frac{1}{y} \), \( y
eq0 \) (because division by zero is undefined).

Answer:

all nonzero real numbers