$/?;):?;$:?:)?:)?;3)?;):?;):?::$!Step by step(simplified) for beginner who doesn’t know anything about this If f is a continuous function on (-4, 4)whose graph isIn2which one of the following properties is NOTsatisfied?1. ƒ"(x) > 0 on (-4,-2)2. (0, 1) is an inflection point3. f"(x) < 0 on (0, 2)4. f has exactly 3 critical points5. f has exactly 1 local maximum6. f'(x) < 0 on (2, 4)

Answered: Image /qna-images/answer/4d9155cd-3f7b-4cbc-80d9-16fdfb55c10c.jpg

If f is a continuous function on (-4, 4) whose graph is in 1. ƒ"(x) > 0 on (-4,-2) 2. (0, 1) is an inflection point 3. f"(x) < 0 on (0, 2) 4. f has exactly 3 critical points 5. f has exactly 1 local maximum 6. f'(x) < 0 on (2, 4)

If f is a continuous function on (-4, 4) whose graph is in 1. ƒ"(x) > 0 on (-4,-2) 2. (0, 1) is an inflection point 3. f"(x) < 0 on (0, 2) 4. f has exactly 3 critical points 5. f has exactly 1 local maximum 6. f'(x) < 0 on (2, 4)

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: The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is…

A: rate of change of height and rate of change of radius of right circular cone is given. To find the…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy² cos(y) 6x² + y² 4 lim…

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Vx,y,z=3x2-2xy+xyz

Q: Evaluate the indefinite integral. Use C as your arbitrary constant. 3 √ (22x³- 22x³ +22x² +29x+6) dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: If the graph of f is shown above, what is the value of the following integral?

A: NOTE: Refresh your page if you can't see any equations. . here the graph of the function f(x) is…

Q: Arc Length. If f(x)= 3x³ -10, find the arc length of the graph off from the point A(8,2) to…

Q: Describe the given region in polar coordinates. R:srs.ses (Type exact answers, using as needed.) G

A: According to diagram the equation of the inner semi circle is x2+y2=16, 0≤θ≤πand also equation of…

Q: Decide whether or not the functions are inverses of each other. 1 f(x) = 5x + 25, g(x) = x-5 No O…

A: fx=5x+25 gx=15x-5 fgx=f15x-5=515x-5+25 fgx=x-25+25 fgx=x

Q: A poster of area 960 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

Q: Find the general solution of the LINEAR differential equation.; y' - y t+2 Make an attempt to find…

Q: Convert the point (x, y, z) = (-1, - 4, 2) to spherical coordinates. Give answers as positive…

Q: Find parametric equations for the tangent line to the curve r(t) = (t² +e²t)i + (2+e¯³)j + (t³ −…

Q: Mrs. Wilton is planning a rectangular flower box for her front window. She wants the flower box to…

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

Q: 1, Compute the Euclidean distance between the sets of points below. a. (2,4)and (9,3) b.…

A: a) two point in 2 dimension is (2, 4) and (9, 3) b) two point in 3 dimension is (11, -3, 30) and…

Q: cos 47. ¹/2 * f(x, y) dy dx 10

Q: Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all…

A: NOTE: Refresh your page if you can't see any equations. . the given function is write in standard…

Q: a tank contains 30 gallons of a solution composed of 70% water and 30% alcohol. a second solution…

A: Given that A tank contains 30 gallons of a solution composed of 70% water and 30% alcoholWe have to…

Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

Q: find the integral from bounds 3 to 8 x/3x^2-9 dx WITHOUT using u substitution or anything similar

Q: Using the graph of the function H(x) below, find the following. 10+ -10 Evaluate -10+ 7 SH(x) dx = 1…

Q: Find the derivative of the following ок a) y = sin ² (x) b) y = €² ex 7 () Y= x² + √x - M x5

Q: 2. Let f,g: R → R³ be differentiable functions. Show that d dt (f(t) × g(t)) = d d f(t) × g(t) +…

Q: y = √√√√3x + √√√2+√1 - x

A: The function y=3x+2+1-x

Q: Find the mass of the thin bar described below with the given density function. p(x)=1+sinx, for…

A: given that , density function is p(x)=1+sinx for 0≤x≤π

Q: Use implicit differentiation to find az/ax and az/ay. x² + 4y² + 3z² = 5 ala ala дz ?х ду || ||

Q: Find the absolute minimum value of f(x) = 4+2 cos²(x) on [-T, π]. 1. abs minimum value = 7 2. abs…

Q: Find lim r(t) t →∞ 3t if r(t) = (2+e¯³)i + 2tan ¹tj + - 4t³ – t 2t - t³ k

A: If rt=2+e-3ti+2 tan-1 tj+4t3-t2t-t3k, then to find limt→∞ rt.

Q: Find the differential of the function. m = p5q7 dm -CL Dap + ( dp dq

Q: Consider the following function. g(x) = x³ + 3x² − 9 on [−3, 1]

Q: Find the linear approximation of the function at the given point. f(x, y) = 10x2-4y2 +8 at (5,6)…

A: fx,y=10x2-4y2+8 To find the linear approximation of the function at the given point at (5,6)

Q: - Identify the points of inflexion of the function. - Identify the largest and smallest value of…

A: To find the points of inflection of the function f(x) = 10x3 + 6x2 + 7x + 20, we need to find the…

Q: Investigator sells for 59¢ per copy. (a)Write down the associated cost function C(x) in dollars.…

Q: 10. What is the domain of the function f(x) = √2x + 6? Show your work

A: The given function fx=2x+6. We have to find the domain of the function.

Q: Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R…

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (µg/mL), in the plasma of a…

Q: se the Laplace transform to solve the given initial-value problem. 1. y' − y = 2 cos(2t), y(0) =…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 4 2 on the curve y=x²-6x² +4 a) Find the points where the tangent line is horizontal. b) Find all…

A: The slope of a tangent at a point can be easily found by the derivative of the function at that…

Q: Find the limit. lim In (x, y)-(1, 1) xv -In 2 In 2 No limit

Q: Find all the critical points of f when f(x) 1. x = -5, 25 2. x = -25, 5 3. x = -5, 0 4. x = -5, 5 5.…

A: According to question,Given Function,fx= xx2+25

Q: Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and Əs Ət = as…

Q: A graphing calculator is recommended. Suppose that the rabbit population on Mr. Jenkins' farm…

Q: Evaluate (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z=0 from (0,3,0) to (3,0,0…

Q: Write the equation for the plane. The plane through the point P(3, -3, 4) and parallel to the plane…

Q: Solve the diffrential equation (dy)/(dx)-3y=2

A: Given differential equation is: dy/dx -3y=2 We have to find the value of y(x)

Q: a floor is covered with 8 multicolored tiles and 91 plain red tiles wht is the raio of red tiles to…

A: Number of red tiles ( R ) = 91 Number of multi color tiles ( M ) = 8

Q: The graph of the function f(x)= 6x²-kx +3 2x²-3x will have a point of discontinuity if k is

A: if 2x-3 is factor of 6x2-kx+3 then function will have a point of discontinuity at x = 0

Q: INTEGRAL CALCULUS 7. Find the area bounded by the parabolas: x² 4y and x² = 8y - 4.

A: x2=4y..........1 f(x)=x2/4 x2=8y-4............2 g(X)=x2/+4/8

Q: 1 (2 ;)= 256 log2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the following. (If an answer does not exist, enter DNE.) C(x) = x¹/²(x + 8) (a) Find the…

A: Consider the function. C(x)=x1/7(x+8)

Question

100%

$/?;):?;$:?:)?:)?;3)?;):?;):?::$! Step by step(simplified) for beginner who doesn’t know anything about this

If f is a continuous function on (-4, 4)
whose graph is
In
2
which one of the following properties is NOT
satisfied?
1. ƒ"(x) > 0 on (-4,-2)
2. (0, 1) is an inflection point
3. f"(x) < 0 on (0, 2)
4. f has exactly 3 critical points
5. f has exactly 1 local maximum
6. f'(x) < 0 on (2, 4)

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: determining 1&2

VIEW

Step 2: determining rest

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
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?
construct a suitable Liapunov function of the form ax2 + cy2, where a and c are to be determined. Then show that the critical point at the origin is of the indicated type. 1.dxdt=−x3+xy2,dydt=−2x2y−y3; asymptotically stable
Sketch the graph of a continuous function ƒ on [0, 4] satisfyingthe given propertie. ƒ'(x) = 0 for x = 1, 2, and 3; ƒ has an absolute minimum atx = 1; ƒ has no local extremum at x = 2; and ƒ has an absolutemaximum at x = 3.
Suppose f(x,y)=xy(1−8x−10y).f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x<z or if x=z and y<w. Also, describe the type of critical point by typing MA if it is a local maximum, MI if it is a local minimim, and S if it is a saddle point.
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image 1 A critical point of f that generates a maximum point is: image 2
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image1 A critical point of f that generates a maximum point is: image2
Suppose f(x,y)=xy(1−1x−10y) f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x<zx<z or if x=zx=z and y<wy<w. Also, describe the type of critical point by typing MA if it is a local maximum, MI if it is a local minimim, and S if it is a saddle point. First point ( , ) of type ___Second point ( , ) of type ______-Third point ( , ) of type ________-Fourth point ( , ) of type ________
At what x-value is the global minimum for f(x)=x2−4x+3 within the interval 0≤x≤5?
Show that f(x, y) = x^2 + y^2 − 2xy + 4 has infinite number of critical points and that D = 0 at each one. Then show that f has a local (and absolute) minimum at each critical point.
Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or minimum at the critical point?