Pre Calc Help?

f(x) = (4x-4) / (x^3 – 8)

What is the Horizontal Asymptote?

Top 1 Answers

A few days ago

Anonymous

Favorite Answer

The horizontal asymptote is the horizontal line the graph approaches as x gets very large. Consider your numerator: as x gets enormous, the “-4” part really doesn’t matter. (If you had 400 billion dollars, would you be worried if you lost four of them?) So it approaches 4x. On the bottom, again as x gets large, the -8 doesn’t matter. So, as x gets large, the whole thing starts to look like 4x/(x^3), which reduces to 4/(x^2).

As x gets large, this fraction gets small. So the whole thing tends to 0, meaning that your horizontal asymptote is

y = 0

mythological allusions!?

so confused!?

Is there a way to say “New York City” in Spanish? If so, how?

how has technology helped us?

Why does Barton on Sea have destructive waves?

How do you solve 2 ln(3 – x) + 3x = 4?

challenge….homework help.?

How to find the x and y intercept of this equation – f(x) = -4/7x + 2?

Pre Calc Help?

Pre Calc Help?

Related Posts