Reciprocal Functions This is the graph of the function: This is an unusual function, as you probably know. Since 1 has to be divided by each X value to get the Y points, there is a problem at x=0. 1 divided by zero does not exist. So the graph is asymptotic at x=0. Y can't be 0 either, for a similar reason. So what will the absolute value of this graph look like? Here is the graph of the function: Notice how the part that was below the X axis is now a perfect mirror image, above that axis. You could describe the domain and range of this new function like this: Domain: x R,  x > 0 and  x < 0 Range:   y R,  y > 0 Now you should understand how absolute value affects the graph of a function. Use your 'Back' button if you'd like to review, before trying our quiz below. Try the QUIZ Main Page