Question

The line y= mx +b is called a slant asymptote

if f(x) -(mx + b)-> 0 as x -> ∞ or x-> -∞ because the

vertical distance between the curve y =f(x)and the line y =mx +b

approaches 0 as becomes large. Find an equation

of the slant asymptote of the function and use it to help

sketch the graph. [For rational functions, a slant asymptote

occurs when the degree of the numerator is one more than the

degree of the denominator. To find it, use long division to write

f (x) = mx +b R(x)/Q(x).]

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Math

Calculus

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Transcribed Image Text

x' + 4 y = x? 2