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Determine the Rate of Change of a Function

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What type of Rate of Change does this graph show?

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1. What is the common difference in the following table?

2. A student makes a table for an equation and determines that the common difference is 1/3. What is the rate of change?

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About This Quiz & Worksheet

This quiz and worksheet combo will help you assess your understanding of finding a function's rate of change, which can be applied to many different topics. You will be quizzed on differentiating between rates of change and how to interpret rate of change from tables and graphs.

Quiz & Worksheet Goals

In these assessments you'll be tested on the following concepts:

  • Know the types of Rate of Change
  • Understanding the difference between exponential rate of change and linear rate of change
  • Interpreting rate of change from a graph or table
  • Applying rates of change to occurrences in the real world

Skills Practiced

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

  • Defining key concepts- ensure that you can distinguish between linear and exponential rate of change
  • Interpreting information- verify that you can view a graph or table and determine the rate of change correctly
  • Critical thinking- apply information and formulas to solve for missing variables
  • Making connections- use your understanding of rates of change to analyze real world instances

Additional Learning

To learn more about rates of change, review the accompanying lesson called Determine the Rate of Change of a Function. This lesson covers the following objectives:

  • Define rates of change and the different types
  • Explore how rates of change can be applied to the real world
  • Understand what causes the differences between exponential and linear rates of change
  • Know how to use given information to solve for a variable
  • Interpret rates of change through graphs and tables
  • Recognize rates of change in daily life
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