Graphing Piecewise Functions
This lesson teaches you how to graph a piecewise function, which is made up of three different lines with constraints on them, as opposed to a linear line that goes from negative infinity to infinity. By rewriting the expressions in y = nx + b form, we can determine the slope and y-intercept of each equation. We then graph each equation based on the constraints given, only shading in where it is true.
How to graph a piecewise function
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- How do you graph a piecewise function?
- What is a piecewise function?
- How do you graph f(x) if f(x) = -1 when x <= 0, f(x) = 2x when 0 < x <= 3, and f(x) = 6 when x > 3?
- How do you know where points are open or closed circles in a piecewise function?
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Staff Review
This lesson shows how to graph a piecewise function in 3 pieces. Each of the 3 pieces is graphed for only a limited domain. All steps involved in graphing each of the 3 pieces are explained and shown. This is a very good introduction to piecewise functions.
