1. Flashback 10-5-12 • The 2 diagrams below show a circle of radius 1 inch with shaded sectors of angle x°, for 2 different values of x. • One of the following is the graph in the standard (x,y) coordinate plane of the area, y, of a shaded sector with angle x°, for all values of x between 0 and 360. Which is that graph? • A.B.C.D.E.

2. Joke of the day What do you call a crushed angle?

3. A Rectangle

4. Bounded functions • Function is bounded above if there is some number that is greater than or equal to every number in the range of the function. • Function is bounded belowif there is some number that is less than or equal to every number in the range of the function. • Function is bounded if the function is bounded above and bounded below.

5. How do we know? • Check graph • i.e. w(x) = 3X2 – 4 • Confirm algebraically:

6. Local and absolute extrema • Local maximum: f(c) is the largest range value over an open interval that contains c. • Local minimum: f(c) is the smallest range value over an open interval that contains c. • Absolute Maximum: f(c) is the largest range value over the entire range of the function. • Absolute minimum: f(c) is the smallest range value over the entire range of the function.

7. Try one • F(x) = X4– 7x2 + 6x • Enter into calculator.

8. HW: p. 102 Ex. 25-28, 30,32, 36,38,42,44

9. Exit Slip p. 104 #84