Determining the Difference Quotient
In this lesson, we learn about determining the difference quotient. To do this, we need to evaluate a function at two different terms, subtract them, and then divide by h, where h cannot equal 0. We go through an example using the function alpha-backs, which is equal to x squared minus x plus 1. After evaluating the function for 2 plus h and 2, we simplify the equation and end up with the final answer of h plus 3 when h cannot equal 0. This lesson provides a great introduction to the concept of difference quotient.
Determining the Difference Quotient
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- What are they asking for in f(2+h)- f(2)?
- Why is it important to write xâ 0 ?
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Staff Review
Good on the whole. But at the last step I would prefer a factorisation of the numerator to precede the 'cancellation' or simplification with the denominator.
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