could someone give me a hand with this please?(adsbygoogle = window.adsbygoogle || []).push({});

i need to use the interval halving method to show that the function f has a root in the interval [a,b]. I need to approximate that root and determine a bound on the error of my estimate.

f(x)=x^3+2x^2+pi(x)-(square root of 2)

I have determined that f(-1)= -3.55581 and that

f(1)= 4.72738

therefore

(-3.55581)x(4.72738)<0

the actual answer to the problem in the back of the book is: root is approx=0.25 and error at most 1/8

I'm getting confused because wouldn't the error be (-1+1)/2? This would equal zero.

Any help would be great.

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# Homework Help: Interval halving

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