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(1 point) The given graph of the derivative f' of a function f is shown. Assuming...
(1 point) Below is the graph of the derivative f'(x) of a function defined on the Interval (0,8). You can click on the graph to see a larger version in a separate window. n (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can...
Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing: On what interval(s) is f concave downward? Concave Down: On what interval(s) is f concave upward? Concave Up: What is the limit as x approaches...
The graph of the derivative f' of a function f is shown. 4 6 8 10 12 (a) on what interval is fincreasing? (Enter your answer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does have a local maximum or minimum? (Enter your answers as a comma-separated list.)
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
Refer to the graphs in the specified exercises from Section 2.5. For each graph, determine the following: the domain and range (use interval notation), the zeroes of the function (use set notation and write the values in increasing order), the open intervals on which the function is positive or negative (interval notation), the open intervals on which the function is increasing and decreasing (interval notation), and any local max or local min value(s) (write as points separated by commas, if...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (4, 13). y=f'(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) (4, 6)U(7, 9) U (11, 13) Find the interval(s) over which f is decreasing. (Enter your answer using interval notation.) (6, 7) U (9, 11) (b) Find the x-value(s) where f...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On what intervals is f increasing? Decreasing? (b) At what values of x does f have a local maximum? Local minimum? (c) On what intervals is f concave upward? Concave downward? (d) State the x-coordinate(s) of the point(s) of inflection. (e) Assuming that f(0) = 0, sketch a graph of f. 15. y A y = f'(x) --2 0 2 6 8 x -2
0/3 POINTS PREVIOUS ANSWERS SCALCETS 4.3.005. The graph of the derivative f' of a function f is shown. 6 8 10 12 (a) on what interval is fincreasing? (Enter your answer using interval notation) On what intervals is f decreasing? (Enter your answer using interval notation.) (by At What values of x does have a local maximum or minimum? (Enter your answers as a comma-separated lista
8. of the derivative gf's of a The figure is the graph | Sunction f on [-3, 31. (a) Determine the intervals on which f is increasing (Use symbol u for combining intervals, and an appropriate type of parenthes is '(,), "L', 'I dependending on whethere the interval is open or closed). 6) Determine the intervals on which of is decreasing, (e) Determine the intervals on which & is concave down. Determine the intervals on which fis concave up.
Determine the intervals on which f is increasing or decreasing, assuming the figure below is the graph of the derivative of f. On Interval 1: is ? < On Interval 2: f is? On Interval 3: fis ? 241 24.1 1 & -2411 If the figure below is the graph of the derivative f', answer the following: Where do the points of inflection of f occur? On which interval(s) is f concave down? 4,