How to Graph Piecewise Functions


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question 1 of 3

All of the following are piecewise functions, EXCEPT:

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1. What is the most common piecewise function?


Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

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About This Quiz & Worksheet

Piecewise functions are a bit more complicated than normal mathematical functions, but this quiz and worksheet will help you see if you understand the concept fully. The quiz questions will test you on the characteristics of piecewise functions and how to identify graphs that correspond to these functions.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying piecewise functions
  • Matching a graph to a particular piecewise function
  • Matching a piecewise function to its graph
  • Understanding when to graph with an open dot regarding a piecewise function

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related pre-algebra lesson
  • Making connections - link your understanding of functions to understand how piecewise functions are graphed
  • Problem solving - use your acquired knowledge to solve practice problems wherein you are asked to match graphs and functions to one another
  • Information recall - access the knowledge you've gained regarding the most common piecewise function

Additional Learning

Pull up the lesson called How to Graph Piecewise Functions to study the following objectives:

  • Define a piecewise function
  • Differentiate between piecewise functions and regular functions
  • Understand how many equations can be in a piecewise function
  • View several examples of piecewise functions