Bisection method

  • Thread starter fonseh
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  • #1
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Homework Statement


In the first photo , interval [-2 ,2 ] means a = -2 , b = 2 , am i right ?
So , how to show that b-a = 1 ?

Homework Equations




The Attempt at a Solution


IMO , b-a = 2+ 2 = 4

for part b , why b - a = -1-(-2) ?
Is there anything wrong with this question ?
 

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Answers and Replies

  • #2
BvU
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interval [-2 ,2 ] means a = -2 , b = 2 , am i right ?
Not so: b and a play different roles.
Refer to example 2.3 for how to choose ##[a,b]##
 
  • #3
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##[-2,2]## is the interval for which the functions are considered.
The exercise suggests to apply the bisection method on another interval, namely ##[-2,-1]## because you don't need to consider the entire range. For the second question ##|b-a|=|-1-(-2)|=|1|=1##.
 

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