Please solve exact and accurate please it's important thanks!! I'll rate it up for accurate work. Thanks(it's not graded at all). In #7, don't forget to consider the endpoints of the closed interval as possible mins/maxes.Question-7.A function f is continuous on the interval (-3, 3] and its first and second derivativeshave the values given in the following table:(0,1)(1,3)(-3,-1)r-) Positive" Negative Negative Negative-1(-1,0)0NegativeNegative Negative 0NegativePositive0 Negativea. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]?Justify your answer.b. What are the z-coordinates of all points of inflections of f on the ihterval (-3,3]?Justify your answer.

we have to use following relation between f , f' and f" * when f'(x) >0 => function increasing…

A function f is continuous on the interval (-3,3] and its first and second derivatives have the values given in the following table: (1,3) (0,1) 0 Negative Negative Negative0 Negative Positive0 Negative (-1,0) (-3,-1) S'(=) Positive, S"(=) Negative Negative Negative -1 a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]? Justify your answer. b. What are the -coordinates of all points of inflections of f on the ihterval (-3,3]? Justify your answer.

A function f is continuous on the interval (-3,3] and its first and second derivatives have the values given in the following table: (1,3) (0,1) 0 Negative Negative Negative0 Negative Positive0 Negative (-1,0) (-3,-1) S'(=) Positive, S"(=) Negative Negative Negative -1 a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]? Justify your answer. b. What are the -coordinates of all points of inflections of f on the ihterval (-3,3]? Justify your answer.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

See similar textbooks

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
If the function is defined y=2x when x<=3 and y=-x+9 when x>=3, is this function differentiable at x=3? Also, is this function continuous at x=3?
Suppose f is continuous on [1,5] and the only solutions ofthe equation f(x) = 6 are x = 1and x= 4 . If f(2) = 8,explain why f(3) > 6.
If a function contains a “jump,” occurring at a certain x value, then can the function be continuous at this x? ___________. Can it be differentiable at x? ___________.
At what points are the functions continuous f(x)= 1 x^ 1 x -1- 1 x^ 2 &,&,&,\\ x-1&x=3 y = 1/(|x| + 1) - (x ^ 2)/2
Suppose f is continuous on the interval (0,3).
is continuous at the point (1, −2).
But if a = 4, then we will have a removable discontinuity since the x^2 - 4 in the numerator will cancel with the x^2 - 4 in the denominator leaving f(x) = x - 1 with holes at (2, 1) and (-2, -3). There is no information given that the function is defined at those points, so it remains discontinuous, right?
draw the graph of a function f on [0, 4] with the given property. Jump discontinuity at x = 2 and does not satisfy the conclusion of the IVT
It is possible that functions f and g are not continuous at a point x0 but f+g is continuous at x0. Select one: True False
suppose we know that f(x) is continuous and differentiable on [2, 14], with f(2)= -5 and f'(x) <= 10. what is the largest possible value for f(14)? justify your reasoning.
draw the graph of a function f on [0, 4] with the given property. Infinite one-sided limits at x = 2 and does not satisfy the conclusion of the IVT