Sketch a continuous function f on the interval [-6, 6] that has the following properties: I think the interval (-5,-2)(-2,0)(4,6] is increasing and f’’(x) >0 is concave, but unsure. Sketch a continuous function f on the interval [-6, 6] that has the following properties:x-intercepts: (-3, 0) and (2, 0)critical values: f'(x)=0 for x-values -5, -2, 0, 4f'(x)>0 on: (-5, -2), (-2, 0), (4, 6]f'(x)<0 on: [-6, -5), (0, 4)f"(x)>0 on: [-6, -3), (-2, -1), (2, 6]f"(x)<0 on: (-3, -2), (-1, 2)-6

Answered: Image /qna-images/answer/bcbe937e-aa94-435a-b7c0-58043b68f754.jpg

Sketch a continuous function f on the interval [-6, 6] that has the following properties: x-intercepts: (-3, 0) and (2, 0) critical values: f '(x)=0 for x-values -5, -2, 0, 4 f'(x)>0 on: (-5, -2), (-2, 0), (4, 6] f'(x)<0 on: [-6, -5), (0, 4) f"(x)>0 on: [-6, -3), (-2, -1), (2, 6] f "(x)<0 on: (-3, -2), (-1, 2)

Sketch a continuous function f on the interval [-6, 6] that has the following properties: x-intercepts: (-3, 0) and (2, 0) critical values: f '(x)=0 for x-values -5, -2, 0, 4 f'(x)>0 on: (-5, -2), (-2, 0), (4, 6] f'(x)<0 on: [-6, -5), (0, 4) f"(x)>0 on: [-6, -3), (-2, -1), (2, 6] f "(x)<0 on: (-3, -2), (-1, 2)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Suppose that a nonnegativefunction y = ƒ(x) has a continuous first derivative on [a, b] . LetC be the boundary of the region in the xy-plane that is bounded below by the x-axis, above by the graph of ƒ, and on the sides by the lines x = a and x = b. Show that ∫ƒ(x) dx = - ∮C y dx.
A function f has continuous second partial derivatives on an open region containing the critical point (a, b). If fxx(a, b) and fyy(a, b) have opposite signs, what is implied? Explain.
find the value of the constant c that makes the attached function continuous on (-∞, ∞) c =
Integrate f(x, y, z) = x2 -y + z over the line segments from (0, 0, 0) to (1, 1, 0) and then to the point (1, 1, 1).
Assume the second derivatives of ƒ are continuous throughout the xy-plane and ƒx(0, 0) = ƒy(0, 0) = 0. Use the given information and the Second Derivative Test to determine whether ƒ has a local minimum, a local maximum, or a saddle point at (0, 0), or state that the test is inconclusive. ƒxx(0, 0) = -9, ƒyy(0, 0) = -4, and ƒxy(0, 0) = -6
Let f:Rto R be a continuous function that is convex on ( -infinity,0] and [0,infinity) and has a local maximum at the point 0 . Prove that the function is not differentiable at the point 0 .
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image 1 A critical point of f that generates a maximum point is: image 2
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image1 A critical point of f that generates a maximum point is: image2
A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the rupture. It is difficult to directly measure the thickness of the slick at the source (where x=0), but for x>0, it is found that y=0.5(x2+3x)/x3+x2+4x. assuming that the oil slick is continuously distributed, how thick would you expect it to be at the source?
Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.
What is the 3rd partial derivative with respect to x and y and y of the function f(x,y) given in exp(x) y exp(x) exp(y) x exp(y)
It works using the second derivative [ osxs] 1. Find the maximum and minimum limits of the function for the period | f (x)=x-4sin2x+2