Graph the function: f(x)=\frac{3x^2+4x}{ 2x^2- 1}


Graph the function: {eq}f(x)=\frac{3x^2+4x}{ 2x^2- 1} {/eq}

Graphing Rational Functions:

Graphing a rational function is different and more complicated than graphing a polynomial function, as there are several things that must be considered. To plot rational functions (with or without the use of a graphing calculator), it is first important to determine the intercepts and asymptotes. These are obtained by examining the function and solving the necessary parts. Once the intercepts and asymptotes are obtained, the behavior of the graph is easily determined.

Answer and Explanation:

To graph this function, we have to determine its intercepts and asymptotes.


For the x-intercepts, we let {eq}y = 0 {/eq} so that


See full answer below.

Become a member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Graphing & Analyzing Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 2

Related to this Question

Explore our homework questions and answers library