Use the given graph of f(x) to find the intervals on which f'(x) > 0.Ny25-20-15-10-5--5-4-3-2-1-5--10--15---20--25-1/2 3 4 5 6 7A. f'(x) > 0 on (-∞, -6] U [2,∞), f'(x) <0 on [-6,2]B. f'(x) <0 on (-∞0,00)C. f'(x) > 0 on [-2,∞), f'(x) <0 on (-∞, -2]D. f'(x) > 0 on [-12,∞), f'(x) <0 on (-∞, -12]

Answered: Use the given graph of f(x) to find the…

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

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
2. Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) = 2(1-x)/1+x^2 and f"(x)= 4x(x^2-3)/ (1+x^2)^2 Further, assume that it is known that f has a horizontal asymptote at y = 0. and a. Determine all critical points of f.
The limit of (xy-2y) / (x2+y2-4x+4) as (x,y) approaches (2,0) is solved and found out that it does not exist. Can we make this continuous by defining f(2,0) = k for some real value k? If yes, what could this value be? If no, why not?
For the function f(x)=6x+2sin(x)f(x)=6x+2sin⁡(x), find all intervals where the function is increasing. Similarly, find all intervals where the function is decreasing: Finally, find all critical points in the graph of f(x)f(x) (enter xx values as a comma-separated list, or none if there are no critical points):
5. Consider the function f(x) = |x| + 2 at x = 0. Provide a table of inputs and outputs that demonstrate the limitdefinition of the derivative, numerically
determine the points of discountinuty of the function f(x)=(-x)2 andnature of discountunuity at each of those points when x is less than or equal to 0 , 4-5x
Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the linearization to estimate the value of f(2.1).
Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = -2 cos x - x on [0, 2π]
Suppose f is continuous on an interval containing a critical point c and f 1c2 = 0. How do you determine whether f has a local extreme value at x = c?
Given the following derivative = F’(x)=(x+1)(x-1)^3(x+2)^2 with critical values x=-1,1,2,-2. Where f(x) is continuous everywhere. What are the intervals of increasing/decreasing?
Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x ln x - 2x + 3 on (0, ∞)
What are the maximum and minimum values of the function y = | x | on the interval -1 ≤ x < 1? Notice that the interval is not closed. Is this consistent with the Extreme Value Theorem for continuous functions? Why?

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

SEE MORE TEXTBOOKS