11.2: Graphing Rational Functions Algebra 1: May 1, 2015
Use the table to graph the function. List some different features about the graph that are unique from previous functions we have graphed. x y
Rational Functions: Graphs
Review Domain and Range Domain: x values, input Range: y values, output Vertical asymptote is a value excluded from the domain Horizontal asymptote is a value excluded from the range
Find the domain and range of the functions
Find the domain and range of the function
Graphing: Find all asymptotes – Vertical: Denominator = 0 – Horizontal: If only an x in the denominator - 0 If there is a ± # after the rational If there is an x on top and bottom, reduce their coefficients Draw in asymptotes Determine any x or y intercepts Connect the dots (Let asymptotes guide you)
State any asymptotes and sketch the Graph
Sketch the Graph