Graphs of Rational Functions - Questions

Questions, and their answers, on idetifying graphs of rational functions are presented.

Use all properties of rational functions such as range, domain, x-intercepts, y-intercepts, asymptotes, horizontal shift, vertical shift, compression and stretching to answer the questions suggested. Graph the function given before you answer your questions. The self test has a set of 10 questions on this page. The same questions may be accessed using thge applet below.

Graphs of rational functions questions with answers

You are given 4 graphs, select the best possible answer.

Question 1: Identify the graph of the rational function f.

f(x) = 1 / x


Click here to see the 4 graphs.

Question 2: Identify the graph of the rational function f.

f(x) = 1 / (x - 1)


Click here to see the 4 graphs.

Question 3: Identify the graph of the rational function f.

f(x) = (x + 1) / (x - 1)


Click here to see the 4 graphs.

Question 4: Identify the graph of the rational function f.

f(x) = 1 / (x 2 + x -2)


Click here to see the 4 graphs.

Question 5: Identify the graph of the rational function f.

f(x) = (x + 2) / (x 2 -1)


Click here to see the 4 graphs.

Question 6: Identify the graph of the rational function f.

f(x) = (x + 2) / (x 2 - x - 2)


Click here to see the 4 graphs.



Question 7: Identify the graph of the rational function f.

f(x) = (x - 1) / (x 2 + x + 1)


Click here to see the 4 graphs.

Question 8: Identify the graph of the rational function f.

f(x) = (x 2 + x -2) / (x 2 - x - 2)


Click here to see the 4 graphs.

Question 9: Identify the graph of the rational function f.

f(x) = 1 / (x 2 + x + 1)


Click here to see the 4 graphs.

Question 10: Identify the graph of the rational function f.

f(x) = (x 2 - x) / (x 2 - x - 2)


Click here to see the 4 graphs.



You can review your answers and change them. You can also compare your answers to the right answers when you finish the self test.

Your browser is completely ignoring the <APPLET> tag!

1 - click on the button above "click here to start" and MAXIMIZE the window obtained.

2 - click start on the main menu.

3 - answer the question by checking a,b,c or d in the lower part of the window.

You can review your answers and change them by checking the desired letter. Once you have finished, press "finish" and you get a table with your answers and the right answers to compare with.

To start the test with another set of questions, press "reset".



More references on the graphs of rational functions