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Determine the largest and smallest value in the range 1 ≤ x ≤ 3 for the function f(x)= x^2 -x + 1

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Answer to a math question Determine the largest and smallest value in the range 1 ≤ x ≤ 3 for the function f(x)= x^2 -x + 1

Expert avatar
Hermann
4.6
126 Answers
Evaluate f(x) = x^2 - x + 1 at the endpoints:

1. f(1) = 1^2 - 1 + 1 = 1
2. f(3) = 3^2 - 3 + 1 = 7

Since there are no critical points within the interval 1 \leq x \leq 3, the smallest value is 1 and the largest value is 7.

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