Consider the function below. f(2) = 23 -21x2 +147x - 335 Answer the questions below Part 1: Enter your answers in interval notation. If the set is empty, type DNE. On what interval is the function f concave-up? On what interval is the function f concave-down? Part 2: Note: You can earn partial credit on this problem. Preview Ni AnswResults for this submission Entered Answer Preview Result (-infinity,0) U (0,infinity) (-00, 0) U (0, 00) incorrect NONE NONE correct NONE NONE correct NONE NONE correct At least one of the answers above is NOT correct. Let f(a) = 8a3 + 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:Consider the function below. f(z) = 13 - 6x2 + 9x + 4 Answer the questions below Part 1: Enter your answers as a list. If the answer is empty, type DNE. For what real numbers does f have a discontinuity? dne For what real numbers does f have a critical number? 1,3 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:Consider the function below. f(z) = 314 - 1213 +6 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? 0,3 Part 2: Compute the indicated values. J " 0 f"(3): 108 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: (7,00) Relative Minimums: (-00, 7)Entered Answer Preview Result Message (-3, 0) (-3, 0) correct (-infinity,-3), (0,infinity), (-infinity,-3), (0,infinity) (-00, -3), (0, 00), (-00, -3), (0,00) 50% correct Your third interval, set or union is incorrect Your fourth interval, set or union is incorrect -3, 0 -3,0 correct At least one of the answers above is NOT correct. Let f(x) = -24 - 6x3 + 9x + 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals (-3,0) 2. f is concave down on the intervals (-0o,-3), (0,00 ), (-09,-3), (0,00) 3. The inflection points occur at x = -3,0 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 one, your answer should be a comma separated list of a values or the word "none".-3- -2 -1 3 (-1.67, -1.76) -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 SetConfigConsider the function below. f(x) = 1 + 8x+9 Answer the questions below Part 1: Enter your answers as a list. If the answer is empty, type DNE. For what real numbers does f have a discontinuity?| dne For what real numbers does f have a critical number? -4 Part 2: Enter your answers in interval notation. If the set is empty, type DNE. On what interval is the function f increasing? Ori what interval is the function f decreasing? Part 3:return this question to its initial state Consider the applet above. The graph 3/ = f(x) is shown in blue in the top window and is differentiable for all real numbers. Move the point along the graph to sketch y = f'(:1:) (red) in the bottom window. On what intervals is f increasing? C] On what intervals if f decreasing? C]