webwork/mat 111 spring 2018/ assignment 14/5 Assignment 14: Problem 5 Previous P

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webwork/mat 111 spring 2018/ assignment 14/5 Assignment 14: Problem 5 Previous Problem List Next (1 point) Using a calculator or computer, generate a graph like the one shown below by graphing y = 2v x 8 and y 2x for -l s x 1·(What is the relationship between y 2yT6+8-8 and y-2x?) Use your graph to estimate to one decimal place the (largest) magnitude of the error in approximating 2/16+8-8 by 2x for-1 sxs 1. error A s the approximation an over- or an underestimate when x >0? Enter over, or under) Note: You can earn partial credit on this problem. Preview My AnswersSubmit Answers You have attempted this problem 0 times

Explanation / Answer

Maximum error occurs when x = -1

hence

magnitude of Error =| Actual - Approximate|

=|2(16+8*(-1))-8-2*(-1)|

=|42 -6 |

= 0.3

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It overestimates when x >0 as graph of y=2x is above the curve of y=2*sqrt(16+8x)-8 .

OVER

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