F(x) 5x/x-2
1 answer:
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is .
Here are the transformations of a rational function:
a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!
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A)
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now, she got in the elevator for 6 seconds, so, the elevator went down by 20 * 6, or 120 feet down, reason why the slope is negative, when she stopped, she was 350 feet away from the ground floor still though.
if the elevator went down 120 feet, and she's still 350 feet from the ground floor, that means she boarded the elevator at 120 + 350 feet, or 470 feet.
b)
well, we know the elevator's rate is -20 f/s, ok, so every second, is dropping 20 feet, therefore, "y" is "distance from the ground floor", so when y = 0, meaning the distance to the ground floor is 0, so you ARE at the ground floor then.
and "x" is how many seconds you've been in the elevator.
now, she got in the elevator for 6 seconds, so, the elevator went down by 20 * 6, or 120 feet down, reason why the slope is negative, when she stopped, she was 350 feet away from the ground floor still though.
if the elevator went down 120 feet, and she's still 350 feet from the ground floor, that means she boarded the elevator at 120 + 350 feet, or 470 feet.
b)