How to Solve the Difference Quotient


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question 1 of 3

Given a function f(x) and two input values x and x + h, where h is the distance between the two input values, what is the formula for the difference quotient?

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1. How do we find/solve the difference quotient for a function f(x)?

2. If f(x) = 2x + 3, what is f(x + h)?

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About This Quiz & Worksheet

The quiz and worksheet are here to help you see just how much you know about solving the difference quotient. For the quiz, you need to be able to work with different functions.

Quiz & Worksheet Goals

These tools help check your understanding of:

  • Working with different functions
  • The geometrical interpretation for the difference quotient
  • Solving the difference quotient for different functions

Skills Practiced

Complete the quiz and worksheet when you get the chance so that you can practice these skills:

  • Reading comprehension - ensure that you draw the most important information from the lesson on solving the difference quotient
  • Knowledge application - use your knowledge to answer questions about finding the difference quotient
  • Information recall - retrieve the details you picked up about the location of the slope of the secant line between any two points

Additional Learning

Review more topics any time by gaining access to the lesson called How to Solve the Difference Quotient. Use this lesson to analyze more about:

  • Why the difference quotient is important for mathematics
  • Formula for the difference quotient
  • Tips for finding the difference quotient