Graphs with Holes - Concept

Concept Concept (1)

Rational functions have points where they are undefined, which introduces us to graphing holes in the function. Graphing holes involves being able to find these points. A rational function is a quotient of two functions, and if the denominator of this quotient has zeros, the rational function is undefined at that point. Graphing holes means showing what input values makes this denominator function zero.

Sample Sample Problems (3)

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Graphs with Holes - Problem 1
Problem 1
How to graph a rational function (with a quadratic polynomial) when there is one common factor in the numerator and denominator
Graphs with Holes - Problem 2
Problem 2
How to graph a rational function (with a cubic polynomial) when there is one common factor in the numerator and denominator
Graphs with Holes - Problem 3
Problem 3
How to graph a rational function (with cubic polynomials) when there are two common factor in the numerator and denominator