EXAMPLE 3 Sketch the graph of x) = 5xe". (A) The domain of f is R....
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of all real numbers. (a) The value of limx→ ∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (b) The value of limx→ −∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s= , t= . (d) The intercepts in part (c) divide...
8. [-/1 Points] DETAILS SCALCET8 4.3.AE.002.NVA MY NOTES ASK YOUR TEAC EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 - 1683 - 192X2 + 5 Video Example SOLUTION f'(x) = 12x3 - 48x2 – 384x = 12x(x - 8)(x + 4) From the chart Interval 12x X-8 X + 4 f'(x) f x < -4 decreasing on (-0,-4) -4 < x < 0 + increasing on (-4,0) 0<x< 8 decreasing on (0,8)...
Use the guidelines to sketch the curve y = 2x^2/x^2 - 1. The domain is {x | x^2 - 1 0} = {x | x plusminus 1} The x- and y-intercepts are both 0. Since f(-x) = f(x), the function f is. The curve is symmetric about the y-axis. Since the denominator is 0 when x = plusminus1, we compute the following limits: Therefore the lines x = 1 and x = are vertical asymptotes. This information about limits and...
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x) = + 2x-15 ² Summarize the pertinent information obtained by analyzing f(x). O A. f(x) is decreasing on (-00, 0) and (0, 15) and increasing on (15,..). O B. f(x) is increasing on (-00, 0) and (15, 0o) and decreasing on (0.15). OC. f) is decreasing on (-0, 0) and (15,00) and increasing on (0, 15). OD. f(x) is increasing on (-0,0) and (0,...
Exercise (b) Find the local minimum and maximum values of f Step 1 We know f(x) changes from increasing to decreasing at x = 4 herefore, fT 8V2 is a maximum maximum. Step 2 e know f(x) changes from decreasing to increasing at x = L. Therefore, is a minimum So, the local minimum and maximum values of f are as follows local minimum value-8/2 local maximum value0 kip (you cannot come back)
We wish to sketch the graph of the function 22 - 7x + 9 f(x) (x - 3)2 • Find all the critical numbers off and of f'. There are two of them; enter their exact values, together with the value * = 3 at which f is undefined in the first column of the table below (in ascending order : a <b<c). The second column consists of several drop-down menus. Do the following: • for each of the intervals...
Below is the graph of f(x), a function defined on the domain (-5,5). f(x) For each function value, decide if the value is positive, negative, zero, or undefined. a f'(-3) is positive negative zero undefined b. "(-1) is positive negative ? a. f'(-3) is positive negative zero undefined b. f "(-1) is positive negative zero undefined c. f'(1) is ? positive negative O O zero O undefined d. f"(3) is positive ã o negative o zero o o undefined e....
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Sketch the graph off by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) if -1<x<0 if 0<x<1 F(x)...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) | 16 – x2 if -4 <x< 0 f(x) 3x - 2 if O SX4 = absolute maximum DNE absolute minimum -2 local maximum DNE local minimum
Question For this problem, consider the function on the domain of all real numbers. (a) The value of is Oo . (If you need to use -co or o, enter-infinity or infinity.) (b) The value of f(x) limx→- is O0 X . (If you need to use -oo or co, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s- t- (d) The intercepts in part (c) divide the number line into three intervals. From...