Topics: Sections 3. In the textbook. Problem #1: Which of the below graphs is an example of a function that satisfies the following conditions? 8 '(0) = 1, 8 '(1) = 1, 8 '(2) =0,8 '(3) =-1,8'(4) =0 (A) (B) -1 0 1 2 3 4 5 -1 1 2 3 4 (C) (D) -1 0 1 2 3 4 5 -1 0 N 3 5 x (E F) -1 0 1 2 3 5 -1 1 N 3 (G) (H)-1 0 N 3 5 * N Problem #1: Select v Just Save Submit Problem #1 for Grading Problem #1 Attempt # 1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #2: Find the two critical numbers for each of the below functions. (@) f (x) = 2+64 (b) f (x) = xV 12 -x Problem #2(a): Separate your answers with a comma. Do not include 'x = ' in your answer. Enter your answer symbolically, Problem # 2(b): Separate your answers with a comma. as in these examples Do not include 'x = ' in your answer. Just Save Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt #3 Your Answer: | 2(a) 2(a) 2(a) 2 (b ) 2 (b ) 2 ( b ) Your Mark: |2(a) 2(a) 2(a) 2 (b) 2 ( b ) 2 ( b ) Problem #3: The derivative of a function f(x) is given below. Find the critical numbers of f(x) and classify each as a corresponding relative maximum (max), relative minimum (min), or neither.Problem # 3: The derivative of a function f (x) is given below. Find the critical numbers of f(x) and classif) ______ corresponding relative maximum (max), relative minimum (min), or neither. , _ l4xlsgx8l7 f (x) ' (x2+12)2 (A)x=4,neither;x=8,min (B)x=4,neither;x=8,max (C)x=4,max;x=8,neither (D)x=4,max;x=8,max (E)x=4,min;x=8,neither (F)x=4,min;x=8,max (G)x=4,min;x=8,min (H)x=4,max;x=8,min Problem #3: Select V Just Save Submit Problem #3 for Grading Problem #3 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem # 4: Determine all values of x where the following function is concave up. f(x) = 112x4 %x3 27x214x+16 (A)65 (C)x9 (F)x10 (G)x6 Problem #4: Select V Just Save I I Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: PI'Oblem # 5: Suppose that the second derivative of a function f is given by f"(x) = x7 (x 2)9 (x 3)6. Find the x-coordinates of the inection points of f (if any). Problem #3 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #4: Determine all values of x where the following function is concave up. f ( x ) = 12* box4 - 5x3 - 27x2 - 14x + 16 (A) -6 -5 (C) x 9 (F) x 10 (G) x -6 Problem #4: Select v Just Save Submit Problem #4 for Grading Problem #4 Attempt # 1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #5: Suppose that the second derivative of a function f is given by f " ( x ) = x7 ( x - 2)9 ( x - 3) 6 . Find the x-coordinates of the inflection points of f (if any). (A) none (B) 0 and 2 only (C) 0 and 3 only (D) 2 and 3 only (E) 0,2, and 3 (F) 0 only (G) 3 only (H) 2 only Problem #5: Select v Just Save Submit Problem #5 for Grading Problem #5 Attempt # 1 Attempt #2 Attempt #3 Your Answer: Your Mark