Let f(x)=(x3)2, g(x) = x2 4, h(x) = x+ 1, and j(x) = x2 + 1. Without a calculator, match

Chapter 11, Problem 50

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Let f(x)=(x3)2, g(x) = x2 4, h(x) = x+ 1, and j(x) = x2 + 1. Without a calculator, match the functions described in (a)(f) to the functions in (i)(vi). Some of the descriptions may have no matching function or more than one matching function. (i) p(x) = f(x) g(x) (ii) q(x) = h(x) g(x) (iii) r(x) = f(x)h(x) (iv) s(x) = g(x) j(x) (v) t(x) = 1 h(x) (vi) v(x) = j(x) f(x) (a) Two zeros, no vertical asymptotes, and a horizontal asymptote. (b) Two zeros, no vertical asymptote, and no horizontal asymptote. (c) One zero, one vertical asymptote, and a horizontal asymptote. (d) One zero, two vertical asymptotes, and a horizontal asymptote. (e) No zeros, one vertical asymptote, and a horizontal asymptote at y = 1. (f) No zeros, one vertical asymptote, and a horizontal asymptote at y = 0.