show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function...
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
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first derivative b.) find the second derivative c.) find the functions critical values(if any). include their y- coordinates in your answers in order to form critical points. d. )find the intervals on which f is increasing or decreasing. e. )find the local extrema of f. f. )find the functions hyper critical values(if any). include their y coordinates g.) find the intervals of concavity, i.e. the...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
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,
Given the function f(x) and its derivative f'(x). F"(7), sketch the graph of f(x). If applicable, identity local extremum, points of inflection, asymptotes, and intercepts. (1) f(a) == (2) f(x) = f(a) = (-1)"(t) = , f'(x) = -2° +8 f"(ar) = 24 (3) f(x) = (4) f(x) = r - 2 sin 2, 3 VI f'(x) = 1 - 2 cos z f"(x) = 2 sina,
Could you label and explain how to get each term? Thank you! 3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3 3. Find the equation of the tangent line to...
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
| 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
Curve Sketching: Use the following guidelines to sketch the graph of y-f(x) x-5x (20 points) a. What are the behaviors of y when x->oo, or x--0? (3 points) b. What is the first derivative of this function? What are increasing intervals and decreasing intervals and max points and mini points? (6 points) c. What are the second derivative of this function? What are intervals for concavity upwards and concavity downwards and inflection points? (6 points) Use the above information (a,...
(g) The function f is defined for all real numbers except -7 and 3 and has the following properties. i·f(-2)=1 10 AT 2010, Section 012 April 7, 2019 -20(x + 2) 3 1. vii, lim f(x)=-oo Sketch the graph of the function f, showing » The line tangent to f at the point (-2,1), intervals of increase and decrease. ● concavity, and » all asymptotes (g) The function f is defined for all real numbers except -7 and 3 and...