Which if the following rational functions is graphed below? A.F(x)=1/x+4 B.F(x)=1/4x C.F(x)=1/x-4 D.F(x)=4/x

Frederick Zhang asked Mar 23, 2023

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34 votes

Which if the following rational functions is graphed below?

A.F(x)=1/x+4

B.F(x)=1/4x

C.F(x)=1/x-4

D.F(x)=4/x

Frederick Zhang asked Mar 23, 2023

2.7k points

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26 votes

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Take note that there is a vertical asymptote at x = -4. This means that our function has the form:

▪
$\longrightarrow \sf{F (x)=(A)/(x + 4) }$

$\leadsto$ By comparing it with the given options, the correct option is A.

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

◉
$\bm{A. \: \: F(x)= (1)/(x + 4) }$

Ikbear answered Mar 30, 2023

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