topic badge

2.09 Graphing rational functions

Interactive practice questions

What is the resulting equation after we clear the fractions? Do not solve the equation.

$\frac{8}{\left(x+6\right)\left(x-6\right)}$8(x+6)(x6) $=$= $\frac{5}{x-6}+\frac{4}{x+6}$5x6+4x+6
$\left(x+6\right)\left(x-6\right)\cdot\frac{8}{\left(x+6\right)\left(x-6\right)}$(x+6)(x6)·8(x+6)(x6) $=$= $\left(x+6\right)\left(x-6\right)\left(\frac{5}{x-6}+\frac{4}{x+6}\right)$(x+6)(x6)(5x6+4x+6)
Easy
3min

Which of the following functions has a graph without a vertical asymptote?

Easy
1min

Consider the function $f\left(x\right)=\frac{x}{x\left(x-5\right)}$f(x)=xx(x5)

Easy
< 1min

Consider the function

$y=\frac{15x}{5x^2+4}$y=15x5x2+4

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace