2.7 Graphs of Rational Functions
Steps of Graphing
1. Find the domain of the function
2. Simplify the function
3. Find and plot the y-intercept by evaluating f(0)
4. Find and plot the x-intercept by solving N(x) = 0
5. Find and graph the vertical asymptotes by solving D(x) = 0
6. Find and graph the horizontal asymptotes by comparing the degrees
7. If no HA, find and graph the slant asymptote by dividing N(x)/D(x)
8. Find additional points in between each x-int and VA
9. Draw smooth curves to complete the graph
Graph
Graph
Graph
Graph
1.
2.
HomeworkPg 157-158 #15, 21, 23, 47, 50
WAC Type 3
FCA1: Compare and contrast vertical asymptotes and holes in rational functions. (2pts)
FCA2: Compare and contrast horizontal asymptotes and slant asymptotes in rational functions. (2pts)
FCA3: All answers must be written in complete sentences. (2pts)
Graph
Graph
Graph
Find the range
Top Related