Which of the following statements is false? ine following statement false?f(x) has horizontal point of inflection at x-2f(x) has the relative maximum at x-0f(x) is decreasing in the interval (-*, -2)f(x) has the relative minimum at x-2f(x) is decreasing in the interval (0 , 2)

Point of inflection is the Point where function change it's sign. At local maxima function having…

4- 543 2 O f(x) has horizontal point of inflection at x=-2 O f(x) has the relative maximum at x-0 O f(x) is decreasing in the interval (- , -2) f(x) has the relative minimum at x-2 O f(x) is decreasing in the interval (0, 2)

4- 543 2 O f(x) has horizontal point of inflection at x=-2 O f(x) has the relative maximum at x-0 O f(x) is decreasing in the interval (- , -2) f(x) has the relative minimum at x-2 O f(x) is decreasing in the interval (0, 2)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.CR: Chapter Review Exercises

Problem 1CR: Finding a Minimum Suppose the function f=x392x2+6x+1 describes a physical situation that makes sense...

See similar textbooks

Related questions

Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

Q: 1. Consider the function below. f(x) = -4x2 + 8x + 1 (a) Find the critical numbers of f. (Enter your…

Q: 1) y = -2|x + 2| -1 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease…

A: y=-2x+2-1

Q: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

A: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

Q: 6) Given the function y = x³ - 3x. Find all the critical points, any local maximum or minimums, the…

A: 6)y=f(x)=x3-3xf'(x)=3x2-3f'(x)=0x2-1=0Critical points of f(x) x=-1, x=1f'(x)=3(x2-1)f'(x)>0…

Q: Local minimum (6,–3). Local maximum (0,3). Points of Inflection at (-2,1) and (8,–1). Increasing…

A: Locate the points of local maximum and local minimum, where tangents to the function are parallel to…

Q: Absolute minimum value of the function f(x) = 4x – ! on the interval [0.5, 3] is Select one:…

Q: (5,0) Ax (X-2) Graph of f -10 810 (10.2) 10 Let f be a differentiable function defined on [-10, 10]…

Q: 5(=) = 4 Identify the intervals of increase and decrease of the function f(x 1+z2 O A decrease in…

A: Consider a given function isfx=41+x2.Determine in which interval whether the function f isincreasing…

Q: (2, 1) Graph of f The derivative of a function fis defined by f'(x) =/1-2 in (2-), -5≤x≤2 where the…

A: Since you posted multiple question, we will solve first question for you. Kindly repost other…

Q: Let g(x) = 2? absolute minimum of g(x) on the interval 0 < x < 6. - 4x. This question guides you…

Q: (x) = x2 − 2x − 6 on [0, 8] Find any critical numbers of the function. (Enter your answers as a…

Q: f(x) = 2xe^-5x^2 , x does not equal 0 Find critical points in increasing order and apply the Second…

A: f(x)=2xe-5x2 To find out critical points we take first derivative and set it equal to 0 then we…

Q: 1) y = -V+1-3 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease…

A: For the solution follow the next steps.

Q: 2) y = (x + 3)² – 1 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease…

A: Topic :- calculus

Q: Find the absolute extreme values of the function on the interval. f(x) = e x – x, -2sxs2 A. absolute…

Q: f(x) =10 + 10x¹ - 3x² + 0.2x³ - 0.006x⁴ + 0.0009 x⁵- 0.0000008 x⁶ Find: a) first and second…

A: (a). We are given the function defined by f(x)=0.0000008x6+0.0009x5-0.006x4+0.2x3-3x2+10x+10. We…

Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of…

A: Here we use the basic concept of differentiation for finding the relative maximum and point of…

Q: Find the value of the derivative at each relative extremum shown

A: We have to find derivative at each relative extremum as in shown in figure.

Q: 39–48. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to…

A: Let f(x) be a function. Find the first derivative of the provided function using…

Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical…

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: 39–48. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to…

A: 39. (a) Differentiate the function fx. f'x=2x

Q: 20. True or False? a. f'(x) represents the slope of the secant line at any point on the graph of the…

A: a.) As f '(x) represents the slope of the tangent line at any point on the graph of the function…

Q: (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the…

A: So for this question I'm providing hand written solution for better understanding.

Q: 1) y = V-x +4 – 3 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease…

Q: Find the absolute extrema of the function f(x)=10+x÷10-x on the interval [5,8]. The absolute…

A: We have to find the absolute extrema of the function f(x)=10+x10-x on the interval [5,8]. we…

Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative…

Q: 8. A function g(x) is continuous on the interval (-4,4] and its first and second derivatives have…

Q: (a) Find all absolute maxima and absolute minima of f(x) on the interval [0, 10]. If they do not…

Q: Hi, Image 1 is the original question, image two is what I have so far. My question is: Find 2nd…

Q: f(x) = x* – 32x Enter the critical points in increasing order. (a) Use the derivative to find all…

Q: 1. Consider the function g(x) = (x – e)³e-(=-e). Give all your final answers using exact values. (a)…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Find the critical point. f(x)= 3ex - 12e-2x (Use symbolic notation and fractions where needed. Give…

A: topic - critical points of a function and local extremas

Q: Q3-5. The function f has a local/relative minimum value when x = It has a local/relative maximum…

Q: a) The equation of the horizontal asymptote. b) A critical point. c) An interval where f´(x) 0 is…

Q: Find the absolute extreme values of the function on the interval. f(x) = csc x, - – s x A) absolute…

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: The continuous function has exactly one critical point. Find the x-values at which the global…

Q: 2) y = 2/x - 3+1 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease…

Q: Find the global maximum and global minimum values of the function g(θ)=4θ−6sin(θ)g(θ)=4θ-6sin(θ) on…

A: We will use first and second derivative test to find this.

Q: O f0 is increasing in the interval (-, -2) o fx) has a point of inflection at x=-2 O f'(x) has the…

A: find the equation of parabola and then find f'(x) and increasing and decreasing domain

Q: 1. Consider the function f(x) = 3x + 3cot(x/2) on the interval [7/4, 77/4] a. Find the critical…

A: Consider the function: fx=3x+3cotx2, π4,7π4 To calculate the critical points, Differentiate…

Q: defined on the interval [-5, 7]. a.) f(x) is concave down on the open b.) f(x) is concave up on the…

A: This question can be solved using the concept of point of inflection, critical point and point of…

Q: ind the maximum and minimum values of the function on the given interval y= x2+1/x-4, [5,6]

A: Given: y=x2+1x-4

Q: 5. The function f(x) has a derivative g(x), shown on the graph below. (2, 1) (0, 1) 1- 1 (4,-1)…

Q: 1 and f"(-6) 432 1 In the previous step, we determined that f"(6) = 432 Thus, at x = 6, the second…

Q: Pregunta 4 The function f(x) x3 + 6x2 - 9x - 1, then : = - (A) f(x) has a local minimum at x = (B)…

Q: 5. The critical value of the function f is x = 6. Looking at the sign of f', we find that to the…

Q: 11. (10 points) Find the absolute extrema of the function f(x) = x² – 10x + 200 on the interval [0,…

Q: .3/2 Find the critical points and the intervals on which the function f(x) = x* – 2x2, (x > 0) is…

Q: Use the first derivative test to locate the relative extrema of the function in the given domain,…

Question

Which of the following statements is false?

ine following statement false?
f(x) has horizontal point of inflection at x-2
f(x) has the relative maximum at x-0
f(x) is decreasing in the interval (-*, -2)
f(x) has the relative minimum at x-2
f(x) is decreasing in the interval (0 , 2)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1 Hint:

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Truth Tables$

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

Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.
Finding a Minimum Suppose the function f=x392x2+6x+1 describes a physical situation that makes sense only for whole numbers between 1 and 5. For what value of x does f reach a minimum and what is that minimum value?
First Derivative Testa. Locate the critical points of f.b. Use the First Derivative Test to locate the local maximum andminimum values.c. Identify the absolute maximum and minimum values of the functionon the given interval (when they exist).
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = x3 − 27x,    [0, 6] absolute maximum     (x, y) = absolute minimum     (x, y) =
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = x2 − 6x − 2,    [0, 3] absolute maximum     (x, y) = absolute minimum     (x, y) =
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) g(x) =1/x - 2/x2     , [−2, 1] absolute maximum     (x, y) =   (smaller x-value) (x, y) =   (larger x-value) absolute minimum     (x, y) =
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = x3 − 3x, [0, 4] absolute maximum (x,y)= Absolute minimum (x,y)=
Find all relative extrema of the function. Use a graphing utility to verify your result. (If an answer does not exist, enter DNE.) y = ln(3 + 9x2 − x3) relative minimum(x, y) = relative maximum(x, y) =
Use derivatives to find the critical points and inflection points. f(x)=5x - 2lnxEnter the exact answers in increasing order. If there is only one critical point, enter NA in the second area. If there are no inflection points, enter NA
Find the Domain/ Y-Intercept X-Intercept Increasing/ Decreasing Intervals Minimum/ Maximum Concavity Any Inflection Points. f(x)= (x+1)(x^2-x+2)
Find all the critical points and horizontal and vertical asymptotes of the function f(x)=(x^2+5)/(x-2). Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum, or neither. You may use either test, or both, but you must show your use of the test(s). You do not need to identify any global extrema.
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = 1/9(7x + 8), [−9, −5] absolute maximum (x, y) = absolute minimum (x, y) =