5. Rational Functions & Expressions
5.05 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)(x−6) | $=$= | $\frac{5}{x-6}+\frac{4}{x+6}$5x−6+4x+6 |
| $\left(x+6\right)\left(x-6\right)\times\frac{8}{\left(x+6\right)\left(x-6\right)}$(x+6)(x−6)×8(x+6)(x−6) | $=$= | $\left(x+6\right)\left(x-6\right)\left(\frac{5}{x-6}+\frac{4}{x+6}\right)$(x+6)(x−6)(5x−6+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(x−5)
Easy
< 1min
Consider the function
$y=\frac{15x}{5x^2+4}$y=15x5x2+4
Easy
< 1min
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