A2 vertical asymptotes and holes.notebook
Bellwork­
February 13, 2017
A2 vertical asymptotes and holes.notebook
Highlight Section 8.4 Day 1
#13, 15, 30, 40 , 41
February 13, 2017
A2 vertical asymptotes and holes.notebook
February 13, 2017
Points of discontinuity (Vertical asymptotes and holes)
Section 8.3
Objective: ­Find points of discontinuity and classify them as vertical asymptotes or holes.
­Discuss the difference between undefined and indeterminate form.
A2 vertical asymptotes and holes.notebook
February 13, 2017
A graph is continuous if you can draw the graph without picking up your pencil.
Continuous Graphs
Discontinuous Graphs
A2 vertical asymptotes and holes.notebook
February 13, 2017
Points of Discontinuity ­places where your graph is not continuous
­can be classified as a vertical asymptote or hole
To find points of discontinuity set the denominator of the rational function equal to zero and solve.
Example 1:
Find the points of discontinuity. Classify each point as a vertical asymptote or a hole
A2 vertical asymptotes and holes.notebook
February 13, 2017
Find all points of discontinunity, classify each point of discontinuity as a vertical asymptote or hole. Then find the horizontal asymptote.
Example 2:
A2 vertical asymptotes and holes.notebook
February 13, 2017
Find all points of discontinunity, classify each point of discontinuity as a vertical asymptote or hole. Then find the horizontal asymptote.
Example 3:
A2 vertical asymptotes and holes.notebook
February 13, 2017
Find all points of discontinunity, classify each point of discontinuity as a vertical asymptote or hole. Then find the horizontal asymptote.
Example 4: