# Graphs of Rational Functions - Questions

Questions on identifying graphs of rational functions are presented; their answers are also included.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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