Using a Graph to Define Limits - Quiz & Worksheet


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question 1 of 3

What is the limit of f(x) = sin(x) as x approaches 0?

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1. The ceiling function is graphically translated as a stepwise function. What is the limit of f(x) = ceil(x) as x approaches 4.5?

2. The floor function is graphically represented as a stepwise function. What is the limit of f(x) = floor(x) as x approaches 4?

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About This Quiz & Worksheet

Limits are mathematical expression which can be conveyed through graphing, and this assessment will help test your understanding of the concept. Some topics you'll be quizzed on are defining, evaluating and solving for limits.

Quiz & Worksheet Goals

In these assessments you will be tested on:

  • Finding limits of functions of x
  • Solving for qualities of functions using graphs
  • Locating asymptotes and x-intercepts
  • Determining how many values of x have a specified limit

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on how to define limits using a graph
  • Problem solving - use acquired knowledge to solve practice problems about limits, x-intercepts and functions
  • Interpreting information - verify that you can read information regarding graphing functions of x and interpret information using the graph
  • Knowledge application - use your knowledge to answer questions about values of x and f(x)

Additional Learning

To learn more about limits, review the accompanying lesson Using a Graph to Define Limits. Goals for students using the lesson include:

  • Define limits, graphs and related terminology
  • Identify limits using a graph
  • Graph functions and their limits
  • Know how to solve problems to find limits
  • Understand the function of a limit