HSF.IF.C.7.d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

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

Example Problems

Find

\lim_{x \to 0} \frac{-8}{x^3}

Find

\lim_{x \to 2} \frac{7}{x - 2}

Find

\lim_{x \to 3} \frac{-4}{2x - 5}

.

Khan Academy Resources

Graphs of rational functions Graphing rational functions 3 Graphing rational functions 2 Graphing rational functions 4 Graphing rational functions according to asymptotes Graphs of rational functions: horizontal asymptote Graphs of rational functions (old example)Graphs of rational functions: zeros Graphs of rational functions: y-intercept Graphing rational functions 1 Graphs of rational functions: vertical asymptotes

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