Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe featur...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
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,
(8 pts) Let f(x) = xe-. Sketch a graph of this function using calculus, finding all relative extreme values and points of inflection. Use an appropriate scaling for the axes. Show and label all relevant features, including asymptotes, on your graph.
15. Sketch the graph of a function fwith the stated properties. The function fis decreasing on the interval (-00, +), and is concave up on (-00,+00) 16. Refer tothe graph off(x) shown. For each value of x, give the sign of f(x) and f"Cx) I- -t--6 Sign of f)Sign of f"Cx) If there are any inflection points, give their (approximate) x-value(s); if there are no inflection points, put "NONE". 15. Sketch the graph of a function fwith the stated properties....
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
can anyone answere these with workings please i i Consider an equation of the form y = f(x) with sets defined as follows: A contains all maxima in the function B contains all points of inflection in the function C contains all stationary points in the function D contains all points where the second derivative of the function equals zero. Which of the following statements are true, and which are false: Ais a necessary condition for C ii is a...
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
15. (10 points) A. Draw a graph of the probability distribution function (PDF) for the uniform distribution that is defined to be non-zero and constant between 1 and 10. Label the x and y-axes for the graph. (3 points) B. On the same graph draw the cumulative distribution function (CDF) for the uniform distribution. Clearly identify each line (PDF or CDF) in the graph. (3 points) C. In words, express the mathematical relationship that exists between any CDF and the...