100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS
2 answers:
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Answer:
I hope this helpfull.
Step-by-step explanation:
<em>B</em><em>u</em><em>t</em><em> </em><em>i</em><em>f</em><em> </em><em>i</em><em>t</em><em> </em><em>n</em><em>o</em><em>t</em><em>,</em><em>i</em><em>m</em><em> </em><em>s</em><em>o</em><em> </em><em>s</em><em>o</em><em>r</em><em>r</em><em>y</em>
Answer:
B. x ≈ 13/8
Step-by-step explanation:
We assume that one iteration consists of determining the midpoint of the interval known to contain the root.
The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.
Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.
Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.
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The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.
