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Which of the following is the domain and range of the ellipse with equation 4x2 + 25y2 – 8x + 100y + 4 = 0?

Which Of The Following Is The Domain And Range Of The Ellipse With Equation 4x2 25y2 8x 100y 4 0 class=

Sagot :

MrRoyal

The domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]

How to determine the domain and the range of the ellipse?

The equation of the ellipse is given as:

4x^2 + 25y^2 – 8x + 100y + 4 = 0

Next, we plot the graph of the ellipse

See attachment for the graph of the ellipse

The domain

From the attached graph the minimum and the maximum values of x are:

Minimum = -4

Maximum = 6

So, the domain of the ellipse is [-4. 6]

The range

From the attached graph the minimum and the maximum values of y are:

Minimum = -4

Maximum = 0

So, the range of the ellipse is [-4. 0]

Hence the domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]

Read more about domain and range at:

https://brainly.com/question/10197594

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View image MrRoyal
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