Identify the co-ordinates of any local and absolute extreme points and inflection points for the function: Y= 4x + 21 x + 36x - 20

Q: Find the inflection points of the function f (x) = x3 - 3x2 + 5, and explain why the graph has the…

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Q: Find the domain of the function.

A: Given:            fx=1-2x The function is defined for 1-2x≥0

Q: Graph the function. f(x) = -x+3 if x<2 %3D 2x-3 ifx22

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Q: find the maximum or minimum value of the function f(x)= 3x^2-18x-160 _______

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Q: Find the domain of the function. h(x) = √(3x - 1)

A: We have to find the domain of the function: hx=3x-1 We know for any square root function y=fx, fx≥0…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

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Q: Determine whether the function: f(x) = -2x2 -2x -5 has a maximum or minimum.

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: fx=x3-9x2   To Find: the points of inflection and discuss the concavity of the graph of the…

Q: Find the maximum or minimum value of the function. f(x) = 2x2 + 4x - 1

A: We know, for a quadratic equation of the form ax2+bx+c=0,a&gt;0 the minimum value is obtained at…

Q: Specify the domain of the function f (x) = /2x + 14.

A: Given : fx = 2x+14

Q: Find the domain of the function : 1/√(x+2)

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Q: Find the maximum or minimum value of the function. f(x) = 3 - 4x - x2

A: f(x) = 3 - 4x - x2

Q: The value of the function f(x)=3x-7at 5 is .............................

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find the domain of the function. h(x) = 2x/  (x2 - 4)

A: we have to find the domain of h(x)=2x(x2-4)

Q: B- Find the domain for the following functions: - 1+x 1- f(x) = x³-4x 2- y = |x|

A: we have to find the domain of the following functions: 1) fx=1+xx3-4x 2) y=|x|

Q: Find the domain of the function.

A: The given equation is qx=2+x3-x.

Q: f(x) = V1-2x 2+5x+4

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: Find the maximum or minimum point of the function AND state whether it is a maximum or minimum. 5)…

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Q: determine all critical points and all domainendpoints for each function. y = x3 + 3x2 - 24x + 7

A: Point c is said to the critical point of the function f(x) if and only if f'c=0 or f'c=undefined.…

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: B- Find the domain for the following functions: - 1+x 1- f(x) = %3D x3-4x 2- y = |x|

A: Given: 1. fx=1+xx3-4x  2. y=x

Q: Determine whether the following statement is true or false, and explain why. The function ƒ(x) = x2…

A: The given function is f(x)=x2-6x+4

Q: Determine the end behavior of the function f (x) : x³ + 3x2- x - 3

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Q: find the maximum or minimum value of the function a)f(x)=3x^2-18x-160 b)g(x)=100x^2-1100x

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Q: Graph the piecewise-defined function. f(x) =    −4x     if  x &lt; 0 4x2     if  x ≥ 0

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 2 − 7x4

A: Consider the given function fx=2-7x4

Q: Find the minimum value or maximum value of (a) f(x) = 4x^2 + 16x - 3 and (b) h(x) = -x^2 + 5x + 9.…

A: f(x)=4x2+16x-3 The value of a=4 that is positive So we will get minimum value find out vertex we get…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 4 − x −…

A: Consider the function  fx = 4 − x − 3x4

Q: Given the piecewise function if -5 < x < – 2 | f(æ) = { %3D Vx + 2 +2 if x – 2 | Graph the function.

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Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: This graph represents the function f (x) = x² – 2x + 2. %3D -

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x)=6x4-x2

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Q: If exist, find the local maximum, minimum and inflection points of the functions f(x)=…

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Q: B- Find the domain for the following functions: - 1- f(x) = 1+x %3D x3-4x 2- y = |x|

A: 1- Given- fx=1+xx3-4x To Find-  The domain of the above expression.

Q: Sketch the graph of the piecewise-defined function. -4x, xs -3 16) f(x)= {-4 + Vx, -3 1

A: Given :                f(x) = -4x,  x ≤-3-4+x,  -3&lt;x≤1-x+3,  x&gt;1 For the first rule :…

Q: B- Find the domain for the following functions: - 1+x 1- f(x) -4x 2- y = |x|

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Q: Find all x-intercepts of the function f ( x ) = ( x + 3 ) ( x − 4 ) ( x − 9 ).

A: Since, our aim is to find all x-intercepts of the function given below:-f(x)= (x+3)(x-4)(x-9)   -(i)

Q: Graph the piecewise-defined function. 4. f(x)=2x- 1, if x>1

A: Given function is : fx=x+5  , if x≤12x-1 , if x&gt;1 To draw the graph of given function.

Q: Graph the piecewise-defined function. - 3-x if xs2 f(x) = -6+ 2x if x> 2

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Q: Find all zeros for the function f(x) = x4 - 8a3 + 3x2 + 40x - 12

A: Here we use quadratic formula. For quadratic equation ax2+bx+c =0 Then x =-b ±(b)²-4ac2a

Q: Graph the function. - 2x+1 for x<-1 f (x) = 2x +1 for x2-1

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Q: Determine the zero for the function h(x) = 3*9 %3D -

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Q: Graph the piecewise function. -2x + 3 If x < 1 f (x) = Зх - 2 If x 2 1

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Q: Determine the concavity and find the inflection points of the function ƒ(x) = x3 - 3x2 + 2

A: Given function  f(x) = x3-3x2 + 2  The first derivative is f'(x) = 3x2 - 6x    and the second…

Q: Find the domain of the function. f(x)= x2+4x-5 /  3x2-4x-5

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Q: Determine whether the function f(x) =-2x + 5x has a maximum or minimum at 5 he point where x=: 4

A: Maximum or minimum value

Q: Find the maximum or minimum value of the function. f(x) = −x2 + 10x − 14

A: The given function is

Q: Find the domain of the function. h(x) = 2x/  (x2 - 16)

A: Domain of the function is the set of all values of x for which function is defined.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.