Name Date 1. Use separate paper to sketch the graph of a curve with domain (-0o, co) having an absolute maximum point but no absolute minimum point. 2. Use separate paper to sketch the graph of a curve with domain (-0o, co) having both a local maximum point and a local minimum point but no absolute maximum or absolute minimum points. 3. The Extreme Value Theorem says: If a function is continuous on a(n) interval [a, b], then the function attains both a(n) maximum and minimum value in the interval. 4. Fermat's Theorem states that if a function f (x) has a maximum or minimum at x = c, and if f'(c) exists, then 5. The converse of Fermat's Theorem is false. Use separate paper to sketch a graph where f'(x) = 0 for some value x = c, yet there is no maximum or minimum point at x = c. 6. A number c is a critical number of a function f if either or 7. What are the three hypotheses of Rolle's Theorem