Stretching & Compression of Logarithmic Graphs


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question 1 of 3

Which of the following is a log function showing a horizontal compression?

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1. The function 8 log x shows which of the following?

2. Which of the following functions shows a vertical compression?

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About This Quiz & Worksheet

This quiz and worksheet combo can thoroughly test your understanding of logarithmic graphs. You must be familiar with log functions and recognize examples of stretching and compressing in order to do well on this quiz.

Quiz & Worksheet Goals

For this quiz, you must demonstrate your ability to:

  • Identify a log function showing a horizontal compression
  • State what the function 8 log x exemplifies
  • Recognize a function showing a vertical compression
  • Understand what the function log (x / 7) shows
  • Choose a function that shows both a vertical stretch and a horizontal compression

Skills Practiced

  • Critical thinking - apply relevant concepts to examine information about logarithmic graphing in a different light
  • Information recall - access the knowledge you've gained regarding examples of logarithmic graph stretching and compression
  • Knowledge application - use your knowledge to answer questions about vertical stretch and horizontal compression

Additional Learning

You will learn more about this topic when you refer to the lesson titled Stretching & Compression of Logarithmic Graphs. Detailed information covered in this lesson includes:

  • How logarithmic functions are defined
  • What a general logarithmic function looks like
  • What becomes smaller the more we compress
  • Which aspect of the graph gets larger in vertical stretching