Over which interval of x values is f' < 0?(– 4, 0)[- 4, 0)– 4)(– 0, – 4](- ∞0, - 4)-)(- ∞, ∞0]Over the interval ( – 0, 0), this function isconcave up (f'' > 0)concave down (f'’< 0) Below is the function f(x).54-16 -5 -4 -3 -? -1234-2-3-4-6=7+Over which interval of x values is f' > 0?)(– 4, ∞0)[- 4, ∞0)(– 00, – 4)(- 0,4]O(- 00, 0)

The graph of the function is given by

Answered: Below is the function f(x). 5 4- 46 -5…

Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x values is f' > 0? O(– 4, 0) O[- 4, 0) )(-∞, 4) O(- ∞, 4] - )(- ∞0, ∞]

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

Related questions

Q: 3. Show that the functionf on [-1,1] defined as if f (r) = 1+e if x = 0 is discontinuous at x = = 0.…

Q: 13. Find the end behavior for f(x) =x- 2 A. x- +0, f(x) - +o x--o, f(x) → - B. x +o, f(x) - +0 x--o,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. If f(x) = cos2x, find f(0), f(--).f),f(-x) 3. If f(x) = x(x+1), show that f(x+h)– f(x)= h(2x +1+…

A: 2. f(x) = cos2x , find f(0) , f(-π/4), f(7π/8) , f(-x). f(0)…

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

Q: 67. Is the function given by g(x) 1 continuous over %3D x + 5 the interval (-4, 4)? Why or why not?

A: g(x)=1x+5

Q: 6 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 3+x2 (Use decimal…

Q: Suppose the nonzero function f(x) is infinitely differentiable and that f'(x) = -3f(x) for all a…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

Q: _25. Determine if f (x) = {"" (2x – 1 if x 5 is continuous on [2,5]. A. discontinuous on an…

Q: What is the upper bound of the function? f (x) = 4xª 25x² – 5x = 13 = 4r4 5х -13 --- Enter your…

A: Given : f(x) = 4x⁴ - 25x² - 5x - 13

Q: The function In x f (x) = x2 is Select one: increasing on the interval (-o, -) and decreasing on (5,…

A: fx=lnxx2 The domain of given function is 0, ∞. Differentiating with respect to x, we get…

Q: 5. Prove f(x) = e* + x has a root on the interval (-1,0) using the Intermediate Value Theorem.

Q: 4. Verify Rolle's Theorem for f(x) = x² – 2x +1 on [-1,3]

Q: 4. Verify Rolle's Theorem for f(x) = x² – 2x + 1 on [-1,3]

A: Verify Rolle's theorem

Q: Is the function f(x) : 1 continuous or discontinuous on [2,+∞)? Vx - 2 Is the function f(x) : 1…

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1<x2 then fx1>fx2 claim- is it decreasing or increasing

Q: Suppose f(x) = π − 2x − cos x. (a) Show that f is strictly decreasing on R. (b) Hence, justify that…

Q: Consider the function f(z) = 2x+ 18z2-330z +37 defined on the interval -1, 10). Then the absolute…

Q: 4. Determine all the critical numbe f(x)=x-sin(2x) on [0,27].

Q: What is the intervals to its corresponding function which have at least one real zero. f (x) = 202 +…

A: Given query is to find the interval where function has atleast one real zero.

Q: Show that the function f : [0, 1] →[0, 1] given by f(x) = (x −1)2 has a fixed point. Can you apply…

Q: 11. Determine the absolute extreme values of the function fx) = 2 cosx- x on the interval 0<x<2x.

A: We are authorized to solve only 1 question, please repost remaining Extrema

Q: Suppose /has a continuous derivative on the interval [0, 6]. Assume also that f' is increasing on…

Q: Assume that f is a function with domain [0,1] that is differentiable in (0,1). Assuming that f (0) =…

Q: x3 – 7x2 + 5x + 7 = 0, (-1, 1) Let f(x) = x3 - 7x2 + 5x + 7. f(x) is ---Select--- f(-1) = on the…

Q: (b). Find the bound for absolute error at x = 2.9 on the interval [x, x,], where x, = 2.25, x, =…

A: On the interval x0,xn where x0=2.25, x1=2.5, x2=2.75, x3=3 with n=3 along with the function…

Q: According to the function Vx + 2 shown, which statement provides a true conclusion? -1.6 08 0 0.8…

Q: 4. In f(x) = {1– x² if -1sxs 1. Is the function continuous at x=1? Prove. (x² – 1 if x > 1

A: Given Function: f(x)={x2-1, if x<-11-x2 if -1≤x≤1x2-1 if x>1 To…

Q: Suppose we know that f(x) is continuous and differentiable on the interval [1, 9], that f(9) = 0 and…

A: Given, f(x) is continuous and Diferentiable on interval [1,9] f(9)=0 and f'(x)≥8 We have to find :-…

Q: Verify that Rolle's Theorem can be applied to the function f (z) =2³ – 10z2 +27z – 18 on the…

Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: We are interested in the functionf, but we only have the graph of its derivative f, given below. 30…

A: Given query is to find the correct statement .

Q: Suppose that f(1) = -3, f(4) = -4, f'(1) = -3, f'(4) = -5, and f" is continuous. Find the value of…

Q: 4. Verify Rolle's Theorem for f(x) = x² - 2x +1 on [-1,3]

A: Given the function f(x)=x2−2x+1 On the interval [−1,3]

Q: 1. Consider the function f(x) = sinx - e-* has a root in the interval [0,1]. Use false position…

Q: 1. Does there exist a differentiable function f that is continuous on the closed interval [1, 4],…

A: Mean Value Theorem (MVT): If f(x) is continuous on the closed interval [a, b] and differentiable…

Q: 12. Suppose we know that f (x) is continuous and differentiable on the interval [1,9], that f (9) =…

A: To find: The largest possible value of f1. Given: The fx is continuous and differentiable on the…

Q: 4. "The function f(x)= x-1 is continuous on(-0,0)". Is the statement true or false? If it is false,…

A: f(x) is continuous at x = a if L.H.L = R.H.L. = f(a).

Q: 5. Consider two entire functions with no zeroes and having a ratio equal to unity at infinity. Use…

Q: Suppose we know that f(x) is continuous and differentiable on the interval (-7,0], that f(-7)=-3 and…

A: fx is continuous and differentiable function on the interval -7, 0, f-7=-3 & f'x≤2.

Q: 14. Find the end behavior for f(x) = -x - 4 A. x- +o, f(x) +0 x--o, f(x) - +0 B. x- +o, f(x)-0 x-…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose f is differentiable with f(0) = 0 and 0 0.

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: Intermediate Value Theorem: It states that if f is a continuous function whose domain contains the…

Q: 5. Discuss the continuity of the function x'- 1 f (x) = { 2, **- 1 at x = -1. x+2 2, x=- 1

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: 1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

Q: Q4) Show that f(x)=|x x<2 3x -2 x2 2 is continuous at x=2 %3D

Q: 11. Determine the absolute extreme values of f(x) = xe-/2 = xel-/2 on the interval [0, 5].

Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Over which interval of x values is f' < 0?
(– 4, 0)
[- 4, 0)
– 4)
(– 0, – 4]
(- ∞
0, - 4)
-
)(- ∞, ∞0]
Over the interval ( – 0, 0), this function is
concave up (f'' > 0)
concave down (f'’< 0)

Below is the function f(x).
5
4-
16 -5 -4 -3 -? -1
2
3
4
-2
-3
-4
-6
=7+
Over which interval of x values is f' > 0?
)(– 4, ∞0)
[- 4, ∞0)
(– 00, – 4)
(- 0,
4]
O(- 00, 0)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
The piecwise function g(x) is defined by x + 2 when x < 0, 2x2 when 0 is less than or equal to x and 1 is greater than x, and 3-x when x > 1. What type of discontinuites are present in the function? Where are these discontinuities?
prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3] give an example of a function f whose third derivative exist at x=o but whose fourth derivative does not.
1. Let f(x) = 4x − 4x2. Verify that f(x) satisfies the conditions of Rolle’s Theorem on the interval[1, 2]. What is the conclusion?
9) If we apply Rolle's Theorem to the function f(x)=2x^2−8x−4 on the interval [0,4], how many values of c exist such that f'(c)=0? What is the value of C? If we try to apply Rolle's Thorem to the function f(x)=2x^2−8x−4 on the interval [−3,11], which of the following conditions is not met? continuty on [−3,11] Or: f(a)≠f(b) Or: differentiability on [−3,11]
Q3:Verify the third hypothesis of Rolle’s Theorem for the function on the interval f(x)=x^2[SQRT(25-X)] on the interval [0, 25] then find all values of c guaranteed by Rolle’sTheorem.
What is the maximum point of the function f (x) = x² - x on the o terval [-2,2]?