Question

With an example, how do I explain what the graph of a rational function looks like. Explain it in terms of it being a line and why the line is shaped the way it is on the graph.

Answer 1

Hi,

These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.

Explanation:

Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.

Best wishes!