5. Rational Functions & Expressions

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

Approx 3 minutes

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Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.