Writing the equation of a rational function given its graph
Writing the equation of a rational function given its graph

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Which of the following rational functions is graphed below?
Question 10 of 10 2 Points Which of the following rational functions is graphed below?
40
~10
Fx-1) 0 A Fx) = 7+4)
0 B: Fx) = (x+aux-1)
C Fx) =
D Fx) =
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01:06

For each rational function,(A) Find the intercepts for the graph.(B) Determine the domain.(C) Find any vertical or horizontal asymptotes for the graph.(D) Sketch any asymptotes as dashed lines Then sketch a graph of $y=f(x)$ for $-10 \leq x \leq 10$ and $-10 \leq y \leq 10$(E) Graph $y=f(x)$ in a standard viewing window using a graphing calculator.$f(x)=\frac{4-2 x}{x-4}$

01:05

For each rational function,(A) Find any intercepts for the graph.(B) Find any vertical and horizontal asymptotes for the graph.(C) Sketch any asymptotes as dashed lines. Then sketch a graph off for $-10 \leq x \leq 10$ and $-10 \leq y \leq 10$(D) Graph the function in a standard viewing window using a graphing calculator.$f(x)=\frac{-4 x}{x^{2}+x-6}$

01:27

For each rational function,(A) Find the intercepts for the graph.(B) Determine the domain.(C) Find any vertical or horizontal asymptotes for the graph.(D) Sketch any asymptotes as dashed lines Then sketch a graph of $y=f(x)$ for $-10 \leq x \leq 10$ and $-10 \leq y \leq 10$(E) Graph $y=f(x)$ in a standard viewing window using a graphing calculator.$f(x)=\frac{x+2}{x-2}$

For each rational function,(A) Find any intercepts for the graph.(B) Find any vertical and horizontal asymptotes for the graph.(C) Sketch any asymptotes as dashed lines. Then sketch a graph off for $-10 \leq x \leq 10$ and $-10 \leq y \leq 10$(D) Graph the function in a standard viewing window using a graphing calculator.$f(x)=\frac{5 x}{x^{2}+x-12}$

Transcript

Hi. So he wants to know which of the following rational functions this graph below. Okay, so, the important part of these is the vertical of symptoms. Okay, vertical ascent owes me these, like, checkered lines that are basically saying that the function, which is the orange stuff never actually crosses these lines. And they get really close. Like this meaning is it gets really close but never actually crosses the checkered line here. It gets really close and notice since, like that says negative 10. And like, that means each of these dashes counts too. So, there isn’t a vertical of symptom at negative four and it looks like there’s a vertical substitute that…