-110 points v LARAPCALC10 3.3.019. Discuss the concavity of the graph of the function by determining...
Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = -x - = -x - 3x +4 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on...
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)
Find the intervals on which the graph offis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2-9x+3x+4 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. IA. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For...
You are given the graph of a function f. Determine the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward _______ concave downward _______ Find the inflection point of f. (If an answer does not exist, enter DNE.)
Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. - 2x f(x) = x 6 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. O A. The function has a local maximum of at x = (Use a comma to separate answers as needed. Type exact...
10. Find all inflection points and the intervals of concavity for the graph of the function f(x) = 23 - 9x2 + 27%
23. [-16 Points] DETAILS LARCALCET7 4.4.028.EP. Consider the following function. f(x) = 3 sin(x) + 3 cos(x), [0, 27) Find f'(x). f'(x) = Find f'(x). f"(x) = Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.) (x, y) = (smaller x-value) (x, y) = (larger x-value) Describe the concavity. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) concave upward concave downward
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) y = 2x - In x (x, y) = _______ Describe the concavity. (Enter your answers using interval notation. If an answer does not exist, enter DNE. concave upward concave downward
Suppose that the graph below is the graph of f'(x), the derivative offe). Find the open intervals where the original function is concave upward or concave downward. Find any inflection points Select the correct choice below and ful in any answer ones within your choice O A The original function has an infection points) (Use a comma to separate answers as needed. Use integer or factors for any numbers in the expression) OB. The original function does not have an...