How to Determine the Limits of Functions


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question 1 of 3

Use the given graph and formula to solve for z.

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1. Using the given data, solve for z.

2. Using the given data, solve for y.

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About This Quiz & Worksheet

Determining the limits of functions requires an understanding of the definition of a limit, the properties of limits, and continuity in functions. This worksheet and quiz combo will help you use all of this knowledge to determine the limits of complex functions. These practice questions will help you test your understanding of how to define limits given a visual representation or a data set.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Determining the limits of a function given a graphic representation of the data
  • Determining the limits of a function given a set of data for variables within the function

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information about functions from the related lesson
  • Making connections - connect what you know about limits, their properties and definition, and continuity in order to better understand how to determine the limits of functions
  • Problem solving - use your acquired knowledge on limits to solve practice problems wherein you'll be asked to determine the limits of a function
  • Information recall - access the knowledge you've gained on limits to determine the limits of functions from graphs of those functions or data sets

Additional Learning

You can learn more about limits by reviewing the related lesson called Determining the Limits of Functions. This lesson covers the following objectives:

  • Define the properties of limits
  • Understand how to connect your knowledge of the properties of limits and the concept of continuity in order to better grasp the limits of functions
  • Demonstrate your ability to determine the limits of functions while observing a graph or a data set
  • Learn more about polynomial and rational functions