The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the population, in thousands, and t is the time, in years, after the year 2000 (t > 0).      Clearly label all cases (a, b, c,…). Answers must be clear to read and show all steps. Use appropriate units for your answers. How is the graph of the entire function different from the graph for the real-life situation?

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A: Range of a function is the set of all possible values of the function in it's domain

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A:

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A: Solution:-

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Q: 10 -10 -5 0. 10 -10

A: Given: To Find: What happens if we multiply two linear functions together?

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A:

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A: We will solve the following.

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A:

Q: Explain how each graph is obtained from the graph of y = Fx). (a) y = fx) + 8 O Shift the graph 8…

A:

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.