could someone give me a hand with this please? 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.