Question 11 (5 points) w The adjacent figure is a graph of a function in its...
The graph of y = f'(x), the derivative of a function f. 600,00) is given below: y= f'() Which of the following must be true? of is decreasing on (2, 4) and concave down on (-3,3). of is increasing on (-2, 2) and concave down on (0,4). f is increasing on (-3,0) and concave down on (0,4). fis decreasing on (0,4) and concave down on (-2,2).
question 11 is the graph
(10 points) The graph of a function f(x) is shown below. Sketch the graph of the derivative function f'(x), stating clearly the interval of increase/ decrease, and critical points. Read question 11 and sketch the derivative f'(x) of the function f(x). If you can sketch f'(x), it is fantastic. If you find it hard, then please answer the following questions. a. Is f'(-2) negative or positive or zero? Estimate the value of f'(-2). b. Is...
please explain each step, give all the reasoning, don’t just
give the graph, I have already gotten the graph
1. Sketch the graph of the function that satisfies all the given conditions. (a) f"()>0 on (-0, -4) and (4,oo); f"(x) <0 on (-4,0) and (0,4); lim f()2, lim f(r) -2 ェ→00 (b) f(x) c0 on (-o,-3) and (0, 0) ()>0 on-3,0) f"(z) < 0 on (-00 ,-), f"(z) > 0 on (- 0) and (0,00) f,() = 0, f(-2)--21, f(0)...
9. Sketch the graph of a function, using the given information a. Intercepts: (0, 0) and (4, 0) Local Minimum: (3,-27) Points of Inflection: (0, 0) and (2, -16) f(x) c0 over the interval (-0,3) f(x)>0 over the interval (3,) f (x)>0 over the intervals (-o,0) and (2,0) "(x) <0 over the interval (0, 2 b. Sketch a graph of a differentiable function /(x) over the closed interval [-2, /(-2)-f (7) -3 and f (4) 3. The roots of /(x)...
I need a detailed answer please
2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The domain of f(x) and f(x) are (-0,0). Use the figure to answer the following questions मिनि a) Find all critical numbers of f(x). b) Find the open intervals on which the function f(x) is increasing. f(x) is increasing on c) Find the open intervals on which the function f(x) is concave up. f(x) is concave...
1-8
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1. Find the value c that satisfies Rolle's Theorem for f(x) = cos x on A / B./2 C. D. E. 0 F. None of the above 311/4 2. The function f is graphed below. Give the number of values that satisfy the mean value theorem on the interval (-6,6). A. 0 B. 1 C. 2 D. 3 E. 4 F. None of these Page 1 of 5 1. The graph off) is shown. Find the value(s) where)...
For this problem, we will consider the polynomial function f(t) = 24 +23-222 over the interval -3 <I<3 (a) The degree of f(x) is Number (b) Which of the following choices describe the end behavior of f(x)? The graph of f(x) acts o like (i.e. both ends up) Olike -22 (i.e. both ends down) O like 23 (.e left end down, right end up) O like - 23(e left end up, right end down) O None of the above (c)...
Consider the function f(1) = 22 + 12x +11 (e) Sketch a graph of f(I) = 22 +12 2 +11(on a piece of scratch paper) and then choose the correct gra below. 30 20 y 10- -30 20 -10 - 20 10 30 X -10- 20 -30 30- 20- 10- 0 10 20 30 -30 10 -20 -10 -20 After graphing answer the following (1) What is the domain of f? O(-00,-6) O All real numbers 0 (-00, 11] O...
11. Find the intervals of increasing, decreasing concavity, and sketch the graph for the function f(x) = 2x3 - 3x2 - 1. Label all important points. Increasing: Decreasing: (2, 3 Concave Up: 1346, og Concave Down: (-, 31)
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...