Let f(x) = - 4, 9(x) = r² + 4, and h(x) = 1 + 5. Without a calculator, match the functions in (a)-(f) to the descriptions in (i)–(viii). Some of the functions may match none of the descriptions. f(x)...

Extracted text: Let f(x) = - 4, 9(x) = r² + 4, and h(x) = 1 + 5. Without a calculator, match the functions in (a)-(f) to the descriptions in (i)–(viii). Some of the functions may match none of the descriptions. f(x) g(x) h(x) (c) y= T(1) g(z) (a) y = (b) y f(z) g(x) (e) y = h(x) h(r*) (f) y = h(x) (d) y = fE) (g) y = g(x) (h) y = f(x) - g(x) (i) Horizontal asymptote at y = 0 and one zero at z = -5. (ii) No horizontal asymptote, no zeros, and a vertical asymptote at z = -5. (iii) Zeros at z = -5, x = -2, and r = 2. (iv) No zeros, a horizontal asymptote at y = 0, and a vertical asymptote at z = -5. (v) Two zeros, no vertical asymptotes, and a horizontal asymptote at y = 1. (vi) No zeros, no vertical asymptotes, and a horizontal asymptote at y = 1. vii) Horizontal asymptote at y = -4. viii) No horizontal asymptotes, two zeros, and a vertical asymptote at z = -5.