Twenty-One Domain and Range Problems

In this composition of functions worksheet, students solve and complete 7 different problems related to various functions. First, they define a function, its domain and range, and also the composition of functions. Then, students solve...

Starting from a brief look at functions and the mapping of domains to ranges, Sal starts with an intuitive sense of what a function inverse is. Using an example, he then shows how to find the inverse of a function and how the graph of...

Sal shows an example of finding the inverse of the parabola with a restricted domain. He alludes to a reason behind the restricted domain but leaves the listener to determine it.

Sal continues showing examples of finding the inverse of the function. Here, he shows a subtle but essential technique of taking the negative square root of each side of the equation when solving for the inverse because of the...

Sal continues looking at function inverses in this video by showing two examples. In each example, he finds the inverse and shows the graph of both functions. His examples are with linear functions, but his first example shows a function...

If a relation is to be considered a function then the values in the domain can only appear once in the table. It does not matter how many times a value appears in the range. Set up a table using the given values to check and see if the...

Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...

The teacher illustrates several ways to look at what the domain is in a set of numbers. Input, output, table, graphs, and diagrams are a few of the ways in which she illustrates the meaning of domain.

A function means that every element of the domain is paired with exactly one element in the range. The teacher illustrates this by using a table for the given set of numbers.

The teacher illustrates several ways to look at what the domain is in a set of numbers. Input, output, table, graphs, and diagrams are a few of the ways in which she illustrates the meaning of domain.