Pregunta
(b) Given
(1) If the asymptotes of
intersect at the point (5;1), determine the
values of
and
.
(2)
(1) If the asymptotes of
values of
(2)
Ask by Dunn Rose. in South Africa
Nov 02,2024
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Solución

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Como
Beyond the Answer
To find the values of
and
, we need to analyze the function’s asymptotes. The vertical asymptote occurs at
and the horizontal asymptote is determined by examining the limits as
or
. In this case, it approaches
. Given that the asymptotes intersect at the point (5, 1), we have
and
.
Next, the line of symmetry for the function
can be found since the function is a transformed hyperbola. The line of symmetry will be a vertical line
(here,
) because the shape is symmetric around this line. However, to clarify symmetry related to gradient, we need to address the behavior of the function where it decreases, confirming the line of symmetry falls through its vertical aspect.

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