Khan Academy: Introduction to Functions: Ex: Constructing a Function

In this introduction to functions video, Sal intuitively defines a function and introduces the function notion f(x). He finishes the video by looking at a simple example of evaluating g(f(x)) without getting into the complexity of...

Video [9:53] evaluating combinations and compositions of functions including a piece-wise function. Focus is on understanding function notation.

Video [6:07] showing how to solve for a function given a composition of functions and one of the functions. Also shows how the problem can be solved using the different multiple choice options.

An introduction to why we use t statistics.

Introduction to Exponential Decay. Using the exponential decay formula to calculate k, calculating the mass of carbon-14 remaining after a given time, and calculating the time it takes to have a specific mass remaining. [9:19]

Introduction to residuals and least squares regression.

Introduction to sampling distributions.

The final segment in the Khan Academy's series on function inverses. Similar to the previous video, this segment does another example for finding the inverse of a quadratic function. Again the instructor explains the need for restraints...

Video finding the sum of two quadratic functions.

Video finding the quotient of two quadratic functions and then simplifying by factoring.