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Harman [31]
2 years ago
9

F(x) 5x/x-2

Mathematics
1 answer:
Phoenix [80]2 years ago
6 0

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 5+\displaystyle\frac{10}{x-2}.

Here are the transformations of a rational function:

f(x)=\displaystyle\frac{a}{b(x-h)}+k

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 5+\displaystyle\frac{10}{x-2}, 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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Answer:

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Step-by-step explanation:

When rounding to the nearest 10, the unit value is either rounded to 1 and added to the tens value (if value is greater than or equal to 5) or rounded to 0 (if less Than 5)

Hence, the lower limit of a number p which gives 6380 when rounded to the nearest ten would be 6375 ;

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Answer:

Step-by-step explanation:

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1st option to calculate:

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What is the y=Mx+b of this equation
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Step-by-step explanation:

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