A function multiplies the input by 2 then adds 1 to obtain the output. 1) Write an equation that matches the function description.

Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: The graph of which function crosses the x axis at π/2?

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Q: The sum of two numbers is 66. Express the product of the numbers, P, as a function of one of the…

A: It is given that the sum of two numbers is 66. Let one of the two numbers is x Then the other number…

Q: i. Find the equation of a power function through the points (2, ) and (, 8). ii. Now, find the…

A: i) To find a power function through points 2,18 & 14,8. The power function is given by: y=axb

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: 14) write the equation of the translated function 2

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Q: 23)

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Q: x2 + 4х + 3 23. у %3

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Q: Differentiate the function.

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Q: Differentiate the function 8.

A: Given:   h(x)=54x5−3x3+88

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: Differentiate the function

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Q: The sum of two numbers is 50. Express the product of the numbers, P, as a function of one of the…

A: Let x and y be the two numbers. Given that the sum of two numbers is 50. That is, x+y=50⇒y=50-x   →1…

Q: 5. How will you know if a function increases and decreases and how will you locate the maximum and…

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Q: a rectangular plot requires 2000 feet ( in feet ) of fencing to enclose it. if one of its dimensions…

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Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: Write the function equation: 10 8. 7. 5 4 3 1 -10 -9 -8 -7 -5 -3 -2 -1 3 4 6. 7 8 9 10 -1 -2 -3 -4…

A: Topic:- application fo function scaling and shifting

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

Q: @ function examine the

A: Given that, the function is F(x)=xe1x-2. Note that, the function defined for all vales of x except…

Q: 12. 13. -2 2 4 6 x 2.

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Q: i. Find the equation of a power function through the points (2, ) and (, 8). y ii. Now, find the…

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Q: Explain the Functions of Three Variables?

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Q: A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point…

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Q: A collage has a financial aid formula that applies to applicants whose family's income is below a…

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Q: Find the equation of the linear function whose graph is given here. Use the letter x in your answer…

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Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: the sum of two numbers is 40. express their products as a function of one of the numbers.

A: Let's express product of two numbers as a function of one number.

Q: How can we represent a function ?

A: Function is the relation in which each element of the domain is related with exactly one element in…

Q: Give at least 5 examples of function that can summarize the steps in solving the composition

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Q: у 3 х — 2 - y? = What are the points of intersection of these two functions?

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Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: 1. Write an equation of a function with each domain: а. [2, со) b. (-0, 0) c. ( 2, ∞ )

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Q: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P…

A: To find the function that models its perimeter P in terms of the length x of the shorter leg.

Q: What's the difference between alinear function, a non-linear function and non-linear and not a…

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Q: Does the table represent a valid function? Explain why

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Q: 14) write the equation of the translated function 2 2.

A: Explanation of the answer is as follows

Q: Find the points on the graph of the function that are closest to the given point. fx) %3D х2 - 3,…

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Q: (1 point) Match the function with one of the graphs below. A B.

A: the graph of function is given below.

Q: Find a quadratic function that fits the set of data points. (0,- 6), (5,24), (25,44) f(x) = (Use…

A: Consider a general quadratic equation of the form y = ax2+bx+c. Put all three point in the quadratic…

Q: What is meant by linear function in reference to algebra?

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Q: Write the function equation: 10 6 7 6. 5 4 3 2 1. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9.…

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Q: Describe an example of a real-live application of functions of two or more variables.

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Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

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Q: To write an equation in function notation, it must be solved for the dependent variable. O True O…

A: True Given statement is true, to write the equation in function form, it must be solved for…

Q: 3 Can a function be always concave down and never cross zero? Can it be always concave down and…

A: The 1st answer is Yes and 2nd is No.

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.