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Calculus & Its Applications plus MyLab Math with Pearson eText -- Title-Specific Access Card Package (14th Edition)
- Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.arrow_forwardIf f is a quadratic function such that f(0 )=1 and integral f(x) / x 2 (x+1) 2 dx and is a rational function, find the value of f '(0 )arrow_forwardFind aa and bb so that the function f(x)={4x^3-3x^2+5, x<-2 {ax+b, x is greater than or equal to -2 is both continuous and differentiable.arrow_forward
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