(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down.x2 − 1
Sketch a graph of the function in accordance with these conditions. Your sketch should also include
• the following points: the x and y intercepts, local maximums, local minimums, and inflections,
• and all asymptotes (both horizontal and vertical).
If the function does not have a property listed above, then clearly
state that the function does not
satisfy the requested property.
(2) For the function f(x) = 1x(4−x)3, identify the intervals of increase/decrease and concave up/down.9
Sketch a graph of the function in accordance with these conditions. Your sketch should also include
• the following points: the x and y intercepts, local maximums, local minimums, and inflections,
• and all asymptotes (both horizontal and vertical).
If the function does not have a property listed above, then clearly
state that the function does not
satisfy the requested property.
(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down....
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
4. For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward; local maximum, minimum and inflection points; sketch the graph: f(x) = 1/(x-1)3
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Sketch the graph of f(x)= (x^2)/(x^2-1), stating all relative extreme points, intervals of increasing and decreasing, intervals of concave up and concave down, inflection points, and asymptotes.
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
| Sketch the curve of the function f(x) = + unction f(x) = "* [r'(x) = 2*, S"(x) = 205*] Do this by determining the following information: domain, vertical asymptotes and limit - behavior, horizontal asymptotes, x \& y intercepts, symmetry, intervals of increase/decrease and maximum/minimum points, intervals of concavity and inflection points
Sketch the curve of f(x) Sketch the curve f(x) = x -1. a. What is the domain of the function? b. Find the r and y intercepts. • y-intercept is • 2-intercept(s) is/are (if there are more than one r intercept then separate your answers with a comma.) c. Is f(x) even, odd, or neither? 1. find f(-x) = 2. Does f( - x) = f(x)? 2 3. Does f(-x) = -f(x)? 2 4. f(x) is Select an answer V...
8) (8 pts total) For this problem, you will sketch a graph of f(x) = 2x4 + 8x3. Complete the following steps: (a) (1 pt) Determine the intercepts of the function. (b) (3 pts) Use the first derivative to find the intervals on which f increases and decreases, and the relative maximums and minimums. (c) (3 pts) Use the second derivative to find the intervals on which f is concave up and concave down, and the inflection points. (d) (1...
a-i pls thank you 13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...