Information obtained about the asymptotes and zeros of a rational function from the previous section would be helpful in drawing the graph of a rational function quickly.

Review:

• Singular points of a rational function
• Behavior of a rational function around a singular point
• End-behavior of a rational function
• Vertical, horizontal and slant/curve asymptotes
• Zeros of a rational function

Learning Objectives

• Use the information about the asymptotes and zeros to draw the graph of a rational function
• Identify points of intersection of the graph and horizontal asymptote
• Determine the intercepts of the graph
• Find intervals over which the rational function is negative valued or positive valued.