Graphs of Rational Functions - Questions
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 answers are provided.
You are given 4 graphs, select the best possible answer.
Question 1
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{1}{x} \]
Click here to see the 4 graphs.
Question 2
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{1}{x - 1} \]
Click here to see the 4 graphs.
Question 3
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x + 1}{x - 1} \]
Click here to see the 4 graphs.
Question 4
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{1}{x^2 + x - 2} \]
Click here to see the 4 graphs.
Question 5
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x + 2}{x^2 - 1} \]
Click here to see the 4 graphs.
Question 6
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x + 2}{x^2 - x - 2} \]
Click here to see the 4 graphs.
Question 7
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x - 1}{x^2 + x + 1} \]
Click here to see the 4 graphs.
Question 8
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x^2 + x - 2}{x^2 - x - 2} \]
Click here to see the 4 graphs.
Question 9
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{1}{x^2 + x + 1} \]
Click here to see the 4 graphs.
Question 10
Identify the graph of the rational function \( f \).
\[ f(x) = \frac{x^2 - x}{x^2 - x - 2} \]
Click here to see the 4 graphs.
More references on the graphs of rational functions
More Math Problems, Questions and Online Self Tests.