Homework Answers
a)
Inflection point means, where graph has maxima or minima.
In the given graph we have minima at x =1, hence
x =1
b)
Since graph is below the x axis, hence it is decreasing.
Which means larger the x value, lesser the function value
g(2)<g(0)
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The figure below gives the behavior of g', the derivative of a function g, on -2x2. 24 (You can c...
' Please try to explain, clearly as possible. (1 point) The figure below gives the behavior...
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Please try to explain, clearly as possible.
(1 point) The figure below gives the behavior of the derivative of g(x) on -2 < x < 2. Graph of g'(x) (not g(x)) (Click on the graph to get a larger version.) Sketch a graph of g(x) and use your sketch to answer the following questions. A. Where does the graph of g(x) have inflection points? x= 1 Enter your answer as a comma-separated list of values, or enter none if...
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
e npera ture In A Re xc G Which of the numbers T C Make A...
e npera ture In A Re xc G Which of the numbers T C Make A Sign Diagram http://www.webassign.net/web/Student/Assignment-Responses/last?dep-21297420 O BemApCalcB/32 029 M Consider the following function. x) = (a) Make a sign diagram for the first derivative. Select- Select- -Select- Select-w Select- X (b) Make a sign diagram for the second derivative. -Select- -Select- -Select- -Select- -Select- -Select- -Solect- X= X (c) Sketch the graph, showing all relative extreme points and inflection points. 2 IP A graphing calculator is...
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
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...
(1 point) Below is the graph of the derivative f'(x) of a function defined on the...
(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...
Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x1/5(x +...
Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x1/5(x + 6) (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points. (x, y) = ) (smaller x-value) (x, y) ) (larger...
For the function below, determine each of the following. g(x) = x^4 / (x − 24)...
For the function below, determine each of the following. g(x) = x^4 / (x − 24) (a) Find the critical values of g(x). (Enter your answers as a comma-separated list.) (b) Find the intervals on which g(x) is increasing and the intervals on which g(x) is decreasing. Enter your answers using interval notation. Increasing: Decreasing: (c) Find the x-coordinates of all relative extrema on the graph of g(x). (Enter your answers as a comma-separated list. If an answer does not...
Consider the function below. h(x) = 7x5 - 12x3 + x (a) Find the intervals of...
Consider the function below. h(x) = 7x5 - 12x3 + x (a) Find the intervals of increase. (Enter your answer using interval notation.) X Find the intervals of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) -1,0.169 X Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find...
A function and its first and second derivatives are given. Use these to find each of...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should compute the first derivative): 4.2 f(x) = x²+1 f"(x) = 8.2(x - 3)(x + 3) (x² + 13 "None" could be an appropriate answer for some of the statements below: (a) (2 pts) The domain of f(x) is (b) (2 pts) An x-intercept of the graph of y = f(x) occurs at x = (c) (2 pts) The graph of y = f(x) has...
'
Please try to explain, clearly as possible.
(1 point) The figure below gives the behavior of the derivative of g(x) on -2 < x < 2. Graph of g'(x) (not g(x)) (Click on the graph to get a larger version.) Sketch a graph of g(x) and use your sketch to answer the following questions. A. Where does the graph of g(x) have inflection points? x= 1 Enter your answer as a comma-separated list of values, or enter none if...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
e npera ture In A Re xc G Which of the numbers T C Make A Sign Diagram http://www.webassign.net/web/Student/Assignment-Responses/last?dep-21297420 O BemApCalcB/32 029 M Consider the following function. x) = (a) Make a sign diagram for the first derivative. Select- Select- -Select- Select-w Select- X (b) Make a sign diagram for the second derivative. -Select- -Select- -Select- -Select- -Select- -Select- -Solect- X= X (c) Sketch the graph, showing all relative extreme points and inflection points. 2 IP A graphing calculator is...
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...
(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...
Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x1/5(x + 6) (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points. (x, y) = ) (smaller x-value) (x, y) ) (larger...
Consider the function below. h(x) = 7x5 - 12x3 + x (a) Find the intervals of increase. (Enter your answer using interval notation.) X Find the intervals of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) -1,0.169 X Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
2. (20 pts) Consider the following function with its second derivative in simplified form (you should compute the first derivative): 4.2 f(x) = x²+1 f"(x) = 8.2(x - 3)(x + 3) (x² + 13 "None" could be an appropriate answer for some of the statements below: (a) (2 pts) The domain of f(x) is (b) (2 pts) An x-intercept of the graph of y = f(x) occurs at x = (c) (2 pts) The graph of y = f(x) has...
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