Khan Academy: Linear and Nonlinear Functions (Example 1)

How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...

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...

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.

This video shows you how to find the missing value to make the table to represent a linear function.

Find out when can you solve a problem using linear or nonlinear equation.

Video shows an example of proving that a particular linear combination of 3 vectors in R3 spans R3. Relates this to linearly independent and linearly dependent vectors. [16:53]

Video continuing the example from the previous video where a transformation matrix with respect to an alternate basis was found given a transformation matrix with respect to the standard basis, an alternate basis and a change of basis...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

Learn what happens to different functions as the value of x increases or decreases.

Video first reviews what it means for a function to be invertible. Shows that if a function is invertible then there is a unique solution to f(x) = y. Also shows that if there is a unique solution to the equation f(x) = y for all y then...