Determine the function which corresponds to the given

Ответ:

bixbylily95

13.03.2022

The function has a horizontal asymptote at y = 3.
The function has a vertical asymptote at x = -3.
The function has a vertical intercept of 1.
The function has a zero of x = -2.

Because the function has a zero at x = -2, and a vertical asymptote at x = -3, therefore
$y= \frac{k(x+2)}{x+3}$

Write the function in the form
y = $y= \frac{k(1+ \frac{2}{x}) }{1+ \frac{3}{x} }$

As x → ∞, y → k.
Because a horizontal asymptote exists at y = 3, therefore k = 3.
A vertical intercept exists at y = 1.
The function is
$y = \frac{3(x+2)(x+1)}{(x+3)(x+1)}$

$y = \frac{3(x+2)(x+1)}{(x+3)(x+1)}$

Determine the function which corresponds to the given graph the asymptote is x=3

Determine the function which corresponds to the given graph the asymptote is x=3

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Ответ:

johanperezpere51

19.01.2021

Mathematics

Boys are better 7/10 people said maybe?

Step-by-step explanation:

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Determine the function which corresponds to the given graph the asymptote is x=3

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