• #### Black Holes

##### Science›Physics›Gravitation
How black holes work.
• #### Graphs with Holes - Concept

##### Math›Precalculus›Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
• #### Graphs with Holes - Problem 3

##### Math›Precalculus›Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
• #### Graphs with Holes - Problem 1

##### Math›Precalculus›Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
• #### Graphs with Holes - Problem 2

##### Math›Precalculus›Polynomial and Rational Functions
How to graph a rational function (with a cubic polynomial) when there is one common factor in the numerator and denominator
• #### Domain and Range - Problem 5

##### Math›Algebra 2›Functions
Finding domain and range from graphs, including graphs with discontinuities like holes.
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• #### Surface Area of Cylinders - Problem 3

##### Math›Geometry›Area
How to calculate the surface area of a rectangular prism with a hole missing in the shape of a cylinder.
• #### Graphing a Rational Expression - Problem 10

##### Math›Algebra 2›Rational Expressions and Functions
Finding discontinuities (holes and vertical asymptotes) of rational functions
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• #### Graphing a Rational Expression - Problem 5

##### Math›Algebra 2›Rational Expressions and Functions
Finding the discontinuities or domain restrictions of rational functions, including vertical asymptotes and holes.
• #### Evaluating Limits Algebraically, Part 2 - Concept

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
• #### Evaluating Limits Algebraically, Part 2 - Problem 3

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a radical function at points where it is not continuous by multiplying by the conjugate of the radical expression.
• #### Evaluating Limits Algebraically, Part 2 - Problem 2

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
• #### Evaluating Limits Algebraically, Part 2 - Problem 1

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous. Finding points of discontinuity of rational functions and canceling factors so that the function becomes continuous.