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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Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.
Step-by-step explanation:
Let,
x be the distance walked by Vi.
Therefore,
On first day = x
Second day = x
On days three and four,Vi walks twice as long as on the first two days
Third and fourth day = 2(x+x) = 2(2x) = 4x
On fifth day = half of first day = = 0.5x
Total distance = 13 miles
Therefore,
Dividing both sides by 6.5
Distance on first day = x = 2 miles
second day = x = 2 miles
third and fourth day = 4x = 4(2) = 8 miles
fifth day = 0.5x = 0.5(2) = 1 miles
Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.
Keywords: distance, addition
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