IN DEPTH EXPLANATION

15. 1-6. The graph of the derivative of a function g is shown below. . . . - . . ...._:....... ...-.... H..H+....-..I.._......... 0 . . ' . . . . . - .3 . I ' ..... _...... ....... . . . . . i I \"Hf...\" a) On which intervals is 3 increasing? Decreasing? b) Where does g have critical points? c) Where does g have a local maximum? A local minimum? (1) Suppose 3(0) = 1. Sketch a possible graph of 3. Suppose the derivative of a function y = f (x) is 3: = x + 3. a) On what intervals, if any, is f increasing? b) At which x, if any, does f have a local minimum? c) Suppose f(2) = 1. Sketch a possible graph of f . Calculus AB Multiple Choice Unit 4- 24 . A f (x) -3 0 X The figure above shows the graph of f' , the derivative of a function f. An accurate graph of the curve y = f(x) would indicate that it is concave up for which values of x? (A) X 0 (C) -2 0 CA040603-3] 25. A function f(x) is increasing for values of x where (A) f(x) is positive ( B) f' ( x) 0 (C) x 3 (D) no values of x (E) -2 5 (C) x