which is a graph of f(x)=5x-2/x+2with any vertical or horizontal asympototes indicated by the dash lines?
1 answer:
Answer:
See attachment
Step-by-step explanation:
The given function is .
This rational function has a vertical asymptote at where the denominator is zero.
The denominator when
There is vertical asymptote at
The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.
The horizontal asymptote is
The graph of this rational function is shown in the attachment
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The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.
<h3>Definitions of dimensions in ellipses</h3>
Dimensionally speaking, an ellipse is characterized by three variables:
- Length of the <em>major</em> semiaxis (
).
- Length of the <em>minor</em> semiaxis (
).
- Distance between the foci and the center of the ellipse (
).
And there is the following relationship:
(1)
Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (), which is defined by the following formula:
,
(2)
The greater the eccentricity, the more similar the ellipse to a circle.
Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943