• #### Domain Restrictions and Functions Defined Piecewise - Concept

##### Math›Precalculus›Introduction to Functions
How a domain restriction affects the graph of a function.
• #### Domain Restrictions and Functions Defined Piecewise - Problem 1

##### Math›Precalculus›Introduction to Functions
How to graph a piecewise-defined function.
• #### Domain Restrictions and Functions Defined Piecewise - Problem 2

##### Math›Precalculus›Introduction to Functions
How to graph a piecewise-defined function with three pieces, and to find its domain and range.
• #### Domain Restrictions and Functions Defined Piecewise - Problem 3

##### Math›Precalculus›Introduction to Functions
How to graph a piecewise-defined function with an asymptote, and how to find its domain and range.
• #### Multiplying and Dividing Rational Expressions - Problem 4

##### Math›Algebra 2›Rational Expressions and Functions
Identifying domain restrictions of rational expressions.
• #### Finding an Inverse Algebraically - Problem 2

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically using a domain restriction.
• #### Proving Two Functions are Inverses - Problem 3

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use composition of functions to prove that two functions are inverses, including those with domain restrictions.
• #### Domain and Range - Problem 5

##### Math›Algebra›Graphs and Functions
Finding the domain restrictions on algebraic expressions including radical and rational expressions
Tags:
• #### Piecewise Functions - Concept

How to define a piecewise function.
• #### Domain and Range - Problem 4

##### Math›Algebra 2›Functions
Common domain and range restrictions from equations including rational, radical, and exponential functions.
Tags:
• #### Piecewise Functions - Problem 1

How to graph a two part piecewise function.
• #### RFLP - DNA Fingerprinting

##### Science›Biology›Molecular Biology
The RFLP method of DNA Fingerprinting.
• #### Introduction to Rational Functions - Problem 7

##### Math›Algebra›Rational Expressions and Functions
Domain restrictions and excluded values of rational expressions.
Tags:
• #### Piecewise Functions - Problem 2

How to graph a three part piecewise function.
• #### 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.
• #### Solving a Logarithmic Equation - Problem 4

##### Math›Precalculus›Exponential and Logarithmic Functions
Connecting algebraic extraneous solutions to logarithmic equations with the graphs, asymptotes, and domain restrictions.
• #### Adding and Subtracting Rational Expressions - Problem 4

##### Math›Algebra 2›Rational Expressions and Functions
Adding and subtracting rational expressions that already have common denominators with attention to domain restrictions.
• #### Solving a Logarithmic Equation - Problem 4

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
Connecting algebraic extraneous solutions to logarithmic equations with the graphs, asymptotes, and domain restrictions.