Calculous
posted by Yoona .
A dunction is continious on the closed interval [3,3] such that of f(3)=4 and f(3)=1. The functions F' anf F'' have the properties shown below
Ok there's supposed to be a table but you cant really see it
3<x<1
F'(x) is positive
F''(X) is positive
X=1
f'(x)and f''(x) failed to exist
1<x<1
f'(x) is negative
f''(x) is positive
x=0
F'(x) and f''(x) are 0
1<x<3 f'(x) and f''(x) are negative
a) what are the xcoordinates of all the absolute maxes and minimu points of f on the inerval [3,3] Justify your answer
b)what are the xcoordinateds of all points of inflection of f on the interval [3,3]? Justify your answer
Respond to this Question
Similar Questions

Math
For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function  f(x) = 1/2 [x1] These functions always mess me up! Could someone tell me the … 
math: real numbers
The statement below is false. Correct it by changing two symbols. "The interval (a,b) contains its infimum and its supremum." I'll give you a hint. The interval (a, b) is an open interval. What you need is a closed interval. Parentheses … 
Math (Grade 12)
I need help with this problem (composite functions): If f(x) = 4x3 and h(x )= 4x^221, find a function g such that f(g(x)) = h. I don't understand how we're supposed to combine the functions. Oh, and the answer is supposed to be g(x) … 
Calculus
Posted by CMM on Wednesday, October 13, 2010 at 12:50am. Calculate the following: a) Find g(f(1)) b) Find lim x> 1+ g(f(x)) c) Find f(g(0)) d) Find lim x>0 f(g(x)) f(x)= 1x, x<1 1, x=1 x1, x>1 g(x)= x, x<0 2, x=0 … 
Calculus IVT
The function f is continuous on the closed interval [0,6] and has values that are given in the table above. The equation f(x)=3 must have at least two solutions in the interval [0,6] if k= ? 
calculus
The function f is continuous on the closed interval [0,2] and has values that are given in the table below x = 0 1  2 ____________ f(x) = 1 k  2 The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if … 
Calculous
let f be the function defined by x1+2 for X<1 f(x)= ax^2Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? 
AP Calculous
let f be the function defined by x1+2 for X<1 f(x)= ax^2Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? 
math
let fbe a function that is even and continuous on the closed interval [0,3]. the function f and itsderivatives have the properties indicated in the table below. sketch the graph. x 0 0<x<1 1 1<x<2 2 2<x<3 f(x) 1 (+) … 
Calculus AB
If f(x) is differentiable for the closed interval [3, 2] such that f(3) = 4 and f(2) = 4, then there exists a value c, 3 < c < 2 such that f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5 Not really sure where to start here. No textbook …