Simplifying the Difference Quotient

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Taught by mrbrianmclogan
  • Currently 3.0/5 Stars.
7027 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn how to simplify the difference quotient of a function. The instructor breaks down the process into simple steps and demonstrates how to find the value of a function when you plug in x plus h. They then show you how to subtract f of x from f of x plus h and simplify the expression. By factoring out an h, they arrive at the final answer of 4h plus 8x minus 2. With this lesson, you will be able to confidently simplify the difference quotient of any function.

Lesson Description:

Simplifying the difference quotient of a function

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Questions answered by this video:
  • what is the difference in the meaning of f(x+h)and f(x)?
  • If f(x) = 3-x what is f(x+h)equal to ?
  • Staff Review

    • Currently 3.0/5 Stars.
    It would be better to factorise the numerator before simplifying the algebraic fraction in the last step.