How to Graph Rational Expressions? (+FREE Worksheet!)

The Ultimate Algebra Bundle From Pre-Algebra to Algebra II

Download

$109.99 Original price was: $109.99.$54.99Current price is: $54.99.

Graphing Rational Expressions – Example 2:

Graph rational expressions. \(f(x)=\frac{3x}{x^2-2x}\)

Solution:

First, notice that the graph is in two pieces. Find \(y\)-intercept by substituting zero for \(x\) and solving for \(y (f(x)): x=0→y=\frac{3x}{x^2-2x}=\frac{3(0)}{(0^2-2(0)}=\frac{0}{0}\), \(y\)-intercept: None Asymptotes of \(\frac{3x}{x^2-2x}\): vertical: \(x=2\), Horizontal: \(y=0\) After finding the asymptotes, you can plug in some values for \(x\) and solve for \(y\). Here is the sketch for this function.

Exercises for Graphing Rational Expressions

Graph these rational expressions.

• \(\color{blue}{f(x)=\frac{x^2 -2x}{x-1}}\)

• \(\color{blue}{f(x)=\frac{x -5}{x^2-5x+1}}\)

• \(\color{blue}{f(x)=\frac{x^2}{4x-5}}\)

• \(\color{blue}{f(x)=\frac{5x-4}{2x^2-4x-5}}\)

• \(\color{blue}{f(x)=\frac{x^2 -2x}{x-1}}\)

• \(\color{blue}{f(x)=\frac{x -5}{x^2-5x+1}}\)

• \(\color{blue}{f(x)=\frac{x^2}{4x-5}}\)

• \(\color{blue}{f(x)=\frac{5x-4}{2x^2-4x-5}}\)

The Absolute Best Book for the Algebra Test

Algebra I Practice Workbook The Most Comprehensive Review of Algebra 1

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.