Answer true or false. Every function has an absolute maximum and an absolute minimum if its domain is restricted to where f is defined on an interval [-a, a], where a is finite and f is continuous on [-a, a].

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This is a statement of the Extreme Value Theorem, which states that a continuous function on a closed interval has both an absolute maximum and an absolute minimum. By restricting the domain to [-a, a], we are ensuring that the interval is closed, and by assuming that f is continuous on the interval, we satisfy the other conditions necessary for the theorem to hold.

Answer True or False