14 videos in "Rational Functions"

Zeros of a rational function

Rational Functions and Holes

Characteristics of Rational Functions

Finding Roots of a Rational Equation

Zeros of a Rational Function

Graphing a Rational Function with a Trinomial Denominator

Solving Equation with Binomial Denominators

Hyperbolas Part 1

Hyperbolas Part 2

Hyperbolas Part 3

Hyperbolas Part 4

Hyperbolas Part 5

Hyperbolas Part 6

Find Inverse of a Rational Function
Rational Functions and Holes
Rational Functions and Holes
9396 views, 2 ratings  00:04:18
Part of video series Rational Functions
(
download video
)
Given a rational function which has common factors in both the numerator and denominator, determine the locations in the graph of the simplified expression where holes would be located.
 What are holes in the graphs of rational functions?
 When is a rational function undefined?
 Where is f(x) = (x^2 + x  6)/(x  2) undefined?
 How can you identify holes in the graph of a function?
This lesson explains the concept of holes in graphs of rational functions where the function is undefined. The graph of this function appears to be a straight line except there is a hole in one spot on the graph.