(g) The function f is defined for all real numbers except -7 and 3 and has the following properti...
Sketch a graph on the right side of the problem of a single function that has these properties. 5) (a) defined for all real numbers (b) increasing on (-3,-1) and (2, oo) (c) f '(x) < 0 on (-00-3) and (-1,2) (d)f"x)>0 on (0, 00) (e) concave down on (-oo, -3), (-3, o) 6) (a) defined for all real numbers (b) increasing on (-3, 3) (c) decreasing on (, -3) and (3, ) (d) fix) <0 on (0, (e) f(x)>...
show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
3. 21-1 Suppose the function F is defined by F(x)= (- d for all real numbers x 20. (a) Evaluate F(1) (b) Evaluate F(1) (C) Find an equation for the langent line to the graph of F at the point where x-1. (d) On what intervals is the function Fincreasing? Justify your answer.
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers 2x b. f(x) = -1 2 c. f'(x) - d. f(2)...
Functions f and g are defined for all real numbers. The function f has zeroes at -2, 3, and 7; and the function g has zeroes at -3, -1, 4, and 7. How many distinct zeroes dose the product function f * g have? Explain and show your answer.
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
For the function f(x) = -**-4x find the following, and use it to graph the function. Find: a) (2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e) 4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
I want all the working, Thankyou 1. Investigate the function based on the properties below. Then sketch the graph of this function. f(x)=+ In x 1.1 Domain: 1.2 Intercepts. 1.3 Symmetry. 1.4 Asymptotes. 1.5 Intervals where f(x) increasing/decreasing 1.6 Critical #. 1.7 Local max/min 1.8 Concavity 1.9 Inflection Points
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...