Posted by Anonymous on Thursday, October 28, 2010 at 9:37am.
horizontal asymptote occurs where the value of x is restricted,,
n the given function f(x)=x/(x-1)^2, what value of x is restricted?
oops i got it wrong
horizontal asymptote occurs where the value of y is restricted,,
so in the given function f(x)= y = x/(x-1)^2, what value of y is restricted?
your function expanded is
f(x) = x/(x^2 - 2x + 1)
For a horizontal asymptote we look at what happens to the function as x ---> infinity.
Use an intuitive approach ...
as x becomes very large, say x = 1 million, the denominator becomes large much faster than the numerator.
So you have a division by a hugely large number resulting in a number close to zero
So when x ---> + infinity, f(x) ---> +0 (still above the x-axis)
wen x ---> - infinity , f(x) ----> -0 (slightly below the x-axis)
is it that the y-value is restricted to being positive. sine the horizontal asymptote has an equation of y=0.
horizontal asymptote:
y = 0 , as x approaches plus/minus infinity
Related Questions
Precalculus - Write an equation for rational function with given properties. a...
Math - Analyze the function algebraically. List its vertical asymptotes, holes, ...
Trigonometry - F(X) = 2x^3-5x^2-19x+1 / x^2-9....I need the vertical asymptote, ...
College Algebra - Given the following rational functions,find:a.)the horizontal ...
college algebra - Given the following rational function, find a. the horizontal ...
algebra - Find the horizontal asymptote of the graph of y=-4x^6+6x+3 / 8x^6+9x+3...
calculus - f(x)= (5x^4 + 5x^3 + 6x^2 + 8x + 5)/(1x^4 + 1x^3 + 1x^2 - 9x + 4) ...
College Algebra - 1.Use completing the square to describe the graph of the ...
Calculus - Which of these rational functions has a ) horizontal asymptote? a ...
College Algebra - 3x-1/x^2-10x+26 Find all (real) zeros of the function Find all...
For Further Reading
