Asymptotes & Zeros
Students relate the graph of a rational function to the graphs of the polynomial functions of its numerator and denominator. Students graph these polynomials one at a time and identify their y-intercepts and zeros. Using the handheld's manual manipulation functions, students can manipulate the graphs of the numerator and denominator functions and see the effect on the rational function. The activity is intended to be teacher-led in an Algebra II or PreCalculus class, but could be used as enrichment with an advanced Algebra I class.
Tool:Â TI-83-TI-84 series
Student Activity Sheet and Teacher Lesson Included with Pre-Lesson Information
The activity provides investigation with rational expressions and both algebraic and graphic representations. Rational equations are examined and asymptotes are observed. The behavior of rational expressions as equations is visualized graphically and interpreted algebraically.
