HW : Represent the functions on ( equation, graph and data table), then determine the range and properties of the functions below: 2. yeH= x+2 x G3,00)

Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Differentiate the function.

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Q: Use the slope-intercept form to write an equation of the line that passes through the given point…

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Q: 2. Determine whether the given expression is a function or relation y = x2 b. x = а.

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Q: The value of f(3.5) from the following points (1,1), (2,14), (3,15), (4,5), (5,6), (6,19) is

A: In this problem we can use many interpolation method. I am using Newton-Gregory forward…

Q: Write the equation for the graphed function. y = y 4 2 -6 -4 -2 4 6. 2.

A: General equation of a parabola is: y = a(x-h)2 + k where (h,k) denotes the vertex

Q: Tell whether or not each function is increasing or decreasing, and give the domain, range, and…

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Q: Write the function that represents the graph below: -2 -2 2.

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Q: write and equation that gives the number of tickets sold y as linear function of number of hours x…

A: the solution is given below;

Q: Determine whether the equation |x |- y = 5 defines y as a function of x.

A: |x|-y=5

Q: Differentiate the function. y = 2x/2 - 3x

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Q: Practice Task 3: Tell whether each rule is a functic 1. x+y = -10 2. x = y + 7. 3. 3(x + y) = -2 %3D

A: If all vertical lines intersect a curve atmost once than the curve represents a function. (1)The…

Q: 3. y = -2x2 + 7x + 6 %3D Domain: Range:

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Q: 3. Given the table of values, find the equation of the function: -9 2 -10 -7 4 11 26

A: The interpolation techniques are used to establish the functional relationship between any two…

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.