-3- -2 -1 3 (-1.67, -1.76) 1-0:5 -3 return this question to its initial state Consider the applet above. The grapgh of y = f(x) is in blue. Move the point along the graph to compute the slope of the graph. List all the points-of-inflection. run SetConfig(1.1,-0.68)_ return this question to its initial state Consider the applet above. The blue graph shows the function f that is continuous on [- 7, 7] and differentiable on (- TT, TT). Let a = -T and b = T. Move the point along the graph to find all the numbers c between a and b so that f' (c ) = f(b) - f(a) b - a List your answers: 1,-1Consider the function below. f(x) - 3x4 - 12x3+6 Answer the questions below Part 1: Part 2: Part 3: If necessary, Apply the second derivative test to determine for what numbers the function f has relative maximums and relative minimums. List your answers. If the set is empty, type DNE. Relative Maximums: dne Relative Minimums: -75 Derivative and the Shape of a Graph Example 1 f (x) = 3x4 - 12x -3 Share Answer the questions below Part 1: Enter your answers as a list. If the set is empty, type DNE. For what numbers does f have a critical number? - Part 2: Compute the indicated values. "(0) =[ "3) = Part 3:Let f(a) = 8:3 + 9. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima). click here to read examples. 1. f is increasing on the intervals (-co,0) U (0,co) 2. f is decreasing on the intervals none 3. The relative maxima of f occur at a = none 4. The relative minima of f occur at x = none Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last two, your answer should be a comma separated list of x values or the word "none". Hint:AI least one ofthe answers above is NOT correct J Consider the function below. - f(z) = m3 210:2 + 147:1: 335 nsleirthequestions below [ Part1: r 7 777W; Enter your answers in interval notation. If the set is empty, type DNE. On what interval is the function f concaveup?[(;,;o) ' (mm On what interval is the function f concave-down? Part 2: /\\ Enter your answers as a list. If the answer is empty, type DNE. a For what real numbers does f have a point-ohinection?[71ne I Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 2 times. You received a score of 67% for this attempt. Your overall recorded score is 67%. Consider the function below. f (x) = x2+ 8x+9 Answer the questions below Part 1: Part 2: Enter your answers in interval notation. If the set is empty, type DNE. On what interval is the function f increasing? On what interval is the function f decreasing? Part 3: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 33% You have unlimited attempts remaining. Email InstructorEntered Answer Preview DNE DNE 1, 3 (-infinity, 1) U (3, infinity) (- 00, 1) U (3,00 ) 1,3) (1, 3) Consider the function below. f(x) = x3 - 6x2+ 9x+4 Answer the questions below Part 1: Part 2: