Graphs of Rational Functions

OverviewThis set of tutorials provides 28 examples of graphs of rational functions.

Example 1: The graph of a rational function of the form y = 1/x.

Example 2: The graph of a rational function of the form y = -1/x.

Example 3: The graph of a rational function of the form y = 1/(x + c).

Example 4: The graph of a rational function of the form y = 1/(x - c).

Example 5: The graph of a rational function of the form y = 1/(cx + d).

Example 6: The graph of a rational function of the form y = -1/(cx + d).

Example 7: The graph of a rational function of the form y = 1/(cx - d).

Example 8: The graph of a rational function of the form y = 1/(-cx + d).

Example 9: The graph of a rational function of the form y = (x + a)/(x + b).

Example 10: The graph of a rational function of the form y = (x - a)/(x + b).

Example 11: The graph of a rational function of the form y = (x - a)/(x - b).

Example 12: The graph of a rational function of the form y = (x + a)/[(x + b)(x + c)].

Example 13: The graph of a rational function of the form y = (x - a)/[(x + b)(x + c)].

Example 14: The graph of a rational function of the form y = (x + a)/[(x - b)(x + c)].

Example 15: The graph of a rational function of the form y = (x + a)/[(x + b)(x - c)].

Example 16: The graph of a rational function of the form y = (x - a)/[(x - b)(x + c)].

Example 17: The graph of a rational function of the form y = (x - a)/[(x + b)(x - c)].

Example 18: The graph of a rational function of the form y = (x - a)/[(x - b)(x - c)].

Example 19: The graph of a rational function of the form y = -(x + a)/(x + b).

Example 20: The graph of a rational function of the form y = -(x - a)/(x + b).

Example 21: The graph of a rational function of the form y = -(x - a)/(x - b).

Example 22: The graph of a rational function of the form y = -(x + a)/[(x + b)(x + c)].

Example 23: The graph of a rational function of the form y = -(x - a)/[(x + b)(x + c)].

Example 24: The graph of a rational function of the form y = -(x + a)/[(x - b)(x + c)].

Example 25: The graph of a rational function of the form y = -(x + a)/[(x + b)(x - c)].

Example 26: The graph of a rational function of the form y = -(x - a)/[(x - b)(x + c)].

Example 27: The graph of a rational function of the form y = -(x - a)/[(x + b)(x - c)].

Example 28: The graph of a rational function of the form y = (x - a)/[(x - b)(x - c)].