Find the average rate of change f(x) = \sqrt{2x + 2 } between x =1 and x = 7.

Question:

Find the average rate of change {eq}f(x) = \sqrt{2x + 2 } {/eq} between {eq}x =1 {/eq} and {eq}x = 7. {/eq}

Rate of change

For a function {eq}\displaystyle y=f(x) {/eq} defined over the interval {eq}\displaystyle (a,b) {/eq}

The average rate of change of function is defined as {eq}\displaystyle \frac{f(b)-f(a)}{b-a} {/eq}

Answer and Explanation: 1

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Given function {eq}\displaystyle y=f(x) = \sqrt{2x+2} {/eq} on the interval {eq}\displaystyle (1,7) {/eq}

Average rate of change of...

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Average Rate of Change: Definition, Formula & Examples

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Chapter 20 / Lesson 5
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Finding the average rate of change is similar to finding the slope of a line. Study the definition of average rate of change, its formula, and examples of this concept.