Chapter 8.3, Problem 3CYU

To determine

To graph the function and state the domain and range.

Explanation of Solution

Given information:

The given function is:

  $f\left(x\right)=\frac{5}{x}$

Graph:

This represents a transformation of the graph of $f\left(x\right)=\frac{1}{x}$ .

  $a=5$ : The graph is expanded.

  $h=0$ : There is an asymptote at $x=0$ .

  $k=0$ : There is an asymptote at $f\left(x\right)=0$ .

The graph of the function is:

  

Interpretation:

The domain of the graph is all real numbers not equal to $0$ and the range is all real numbers except $0$ .