In Exercises 15-20, sketch the graph of each function and determine whether the function has any absolute extreme values on its domain. Explain how your answer is consistent with Theorem 1. 16. y = 2 - x, -1 < x < 1 THEOREM 1-The Extreme Value Theorem If f is continuous on a closed interval [a, b], then f attains both an absolute maximum value M and an absolute minimum value m in [a, b]. That is, there are numbers x, and xz in [a, b] with f(x1) = m, f(x2) = M, and m s f(x) s M for every other x in [a, b].

In Exercises 15-20, sketch the graph of each function and determine whether the function has any absolute extreme values on its domain. Explain how your answer is consistent with Theorem 1. 16. y = 2 - x, -1 < x < 1 THEOREM 1-The Extreme Value Theorem If f is continuous on a closed interval [a, b], then f attains both an absolute maximum value M and an absolute minimum value m in [a, b]. That is, there are numbers x, and xz in [a, b] with f(x1) = m, f(x2) = M, and m s f(x) s M for every other x in [a, b].

Name: Please explain me clearly and elaboratly. thanks in advance In Exercis
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Description: Please explain me clearly and elaboratly. thanks in advance In Exercises 15-20, sketch the graph of each function and determinewhether the function has any absolute extreme values on its domain.Explain how your answer is consistent with Theorem 1.16.