Worked example: graphing piecewise functions - Khan Academy
A piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can graph a …
Limits of piecewise functions (video) | Khan Academy
We learn that to find one-sided and two-sided limits, we need to consider the function definition for the specific interval we're approaching and substitute the value of x accordingly.
Worked example: domain & range of piecewise linear functions
Finding the domain and range of a piecewise function where each segment is linear.
Introduction to piecewise functions - Khan Academy
Where ever input thresholds (or boundaries) require significant changes in output modeling, you will find piece-wise functions. In your day to day life, a piece wise function might be found at …
Graphs of nonlinear piecewise functions (video) | Khan Academy
Sal is given the graph of a piecewise function and several possible formulas. He determines which is the correct formula.
Worked example: domain & range of step function - Khan Academy
Finding the domain and range of a piecewise function that is constant in each segment. Such functions are called "step functions."
Absolute value & piecewise functions - Math | Khan Academy
Piecewise functions piece together different functions. Absolute value graphs make a V shape, but why do they do that? Let's explore how to make some new and interesting types of graphs. …
Piecewise functions graphs | Algebra (practice) | Khan Academy
Match the formula of a piecewise function to its graph.
Limits of combined functions: piecewise functions - Khan Academy
This video demonstrates that even when individual limits of functions f (x) and g (x) don't exist, the limit of their sum or product might still exist. By analyzing left and right-hand limits, we can …
Graphing absolute value functions (video) | Khan Academy
We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings).