\fScore: Extreme Test Applications of Differentiation Directions: Encircle the letter of the correct answer. Refer to the figure on the slide. (10 items x 2 points) I. Second Derivative Test 1. At what points do local maxima of f occur? A. (-27, 0) and (27, 0) C. (-32, 1) and (#, 1) B. (-7, 0) and (7, 0) -#,-1) and (", -1) 2. At which intervals is f concave downward? A. (-2nt, -7) and (0, IT) C. (-1,0) and (0,1) B. (-7, 0) and (1, 2n) D. None of these 3. At which intervals is f" negative (below the x - axis)? A. (-2n, -7) and (0, IT) C. (-1,0) and (0,1) B. (-7, 0) and (7, 2n) D. None of these 4. At what points do local minima of f occur? A. (-2n, 0) and (27, 0) C. (-32, 1) and ( #, 1) B. (-7, 0) and (7, 0) _#,-1) and (, -1) 5. At which intervals is f concave upward? A. (-2nt, -7) and (0, IT) C. (-1,0) and (0,1) B. (-n, 0) and (1, 2n) D. None of these 6. At which intervals is f" positive (above the x - axis)? A. (-2nt, -7) and (0, IT) C. (-1,0) and (0,1) B. (-7, 0) and (1, 21) D. None of these II. First Derivative Test 7. At which intervals is f(x) increasing? A. (-32, -#) and (.") C. (-2n, - 32), (-= =) and (", 2n) B. (-27, -7) and (0, IT) D. (-7, 0) and (n, 2n) 09 Activity 1 Property of STI Page 1 of 2 STI SH1657 8. At which intervals is f'(x) positive (above x - axis)? A. (2, -") and (. -" ) C. (-27, - 2), (-". ") and (, 2n) B. (-2n, -7) and (0, IT) D. (-7, 0) and (1, 2n) 9. At which intervals is f (x) decreasing? A. (-32, -#) and (".") C. (-27, - 32), (-", ") and (, 2n) B. (-2n, -7) and (0, IT) D. (-7, 0) and (n, 2n) 10. At which intervals is f'(x) negative (below x - axis)? A. (-2, -") and (" -") C. (-271, - -), (-57) and (", 2n) B. (-2n, -7) and (0, IT) D. (-7, 0) and (n, 2n)